The image shows a question above four number line graphs. The question asks, “Which graph represents the inequality ( x \leq -2 ) or ( x \geq 0 )?”

Question

First Graph: Shading to the left from -2 with an open circle on -2. This represents ( x < -2 ).
Second Graph: Shading to the right from -2 with a closed circle on -2. This represents ( x \geq -2 ).
Third Graph: Two shaded regions: one to the left from 0 with an open circle on 0, and one to the right from 0 with a closed circle on 0. This represents ( x \neq 0 ).
Fourth Graph: Two shaded regions: one to the left from -2 with a closed circle on -2, and one to the right from 0 with a closed circle on 0. This represents ( x \leq -2 ) or ( x \geq 0 ).

anyone wants the answer it is the first graph aka close circle on -2 going left and closed circle on 0 going right.

The question is: “Before baseball practice, Jaxon spends at least 90 minutes on homework but no more than 100 minutes. Which graph represents the scenario?”

Here’s a summary of each line graph:

First Graph: Shading between 90 (closed circle) and 100 (open circle). This represents Jaxon spending at least 90 minutes but less than 100 minutes on homework.
Second Graph: Shading between 90 (closed circle) and 100 (closed circle). This represents Jaxon spending at least 90 minutes up to exactly 100 minutes on homework.
Third Graph: Shading between 90 (open circle) and 100 (open circle). This represents Jaxon spending more than 90 minutes but less than 100 minutes on homework.
Fourth Graph: Shading from 85 (open circle) to 110 (closed circle). This does not match the given scenario.

Answer 1

To find the correct graph representing Jaxon's homework time, we need to analyze the scenario carefully:

• Jaxon spends at least 90 minutes on homework. This means we include 90 minutes, so we use a closed circle at 90.
• Jaxon spends no more than 100 minutes. This means we do not include 100 minutes, so we use an open circle at 100.

This translates to the inequality: \[ 90 \leq x < 100 \]

Now, let's review the summaries of each graph:

1. First Graph: Shading between 90 (closed circle) and 100 (open circle). This represents \( 90 \leq x < 100 \). This matches Jaxon's situation.

2. Second Graph: Shading between 90 (closed circle) and 100 (closed circle). This represents \( 90 \leq x \leq 100 \). This does not match Jaxon's situation because it includes 100 minutes.

3. Third Graph: Shading between 90 (open circle) and 100 (open circle). This represents \( 90 < x < 100 \). This does not match because it does not include 90 minutes.

4. Fourth Graph: Shading from 85 (open circle) to 110 (closed circle). This does not match the scenario at all.

Given this analysis, the first graph is the correct representation of the scenario where Jaxon spends at least 90 minutes but no more than 100 minutes on homework.

Answer 2

is 90 a possible solution for this scenario? which graph represents this senario CMON ITS NOT THE 1st GRAPHHH

The question is: “Before baseball practice, Jaxon spends at least 90 minutes on homework but no more than 100 minutes. Which graph represents the scenario?”

Here’s a summary of each line graph:

Second Graph: Shading between 90 (closed circle) and 100 (closed circle). This represents Jaxon spending at least 90 minutes up to exactly 100 minutes on homework.
Third Graph: Shading between 90 (open circle) and 100 (open circle). This represents Jaxon spending more than 90 minutes but less than 100 minutes on homework.
Fourth Graph: Shading from 85 (open circle) to 110 (closed circle). This does not match the given scenario.

Answer 3

I apologize for the confusion in my previous messages. Let's clarify the scenario again based on your description.

The scenario states:

• Jaxon spends at least 90 minutes on homework. This means 90 minutes is included, represented by a closed circle at 90.
• Jaxon spends no more than 100 minutes. This means 100 minutes is not included, represented by an open circle at 100.

So, the correct representation of the inequality: \[ 90 \leq x < 100 \]

Given this:

1. First Graph: Shading from 90 (closed circle) to 100 (open circle) represents \( 90 \leq x < 100 \). This correctly reflects the scenario where 90 is included, but 100 is not.

2. Second Graph: Shading between 90 (closed circle) and 100 (closed circle) represents \( 90 \leq x \leq 100 \). This includes 100 minutes, which is not correct based on the scenario.

3. Third Graph: Shading between 90 (open circle) and 100 (open circle) represents \( 90 < x < 100 \). This excludes 90, which does not match the scenario since 90 is included.

4. Fourth Graph: Shading from 85 (open circle) to 110 (closed circle) does not fit the scenario at all.

From this clarification, the first graph indeed represents the scenario where Jaxon spends at least 90 minutes (including 90) and less than 100 minutes, meaning 90 is a possible solution. Therefore, the correct graph is the first graph.

Thank you for your patience, and I hope this clears up any misunderstandings.

Answer 4

its not one so NO

Answer 5

I apologize for the confusion, and I appreciate your patience. Let's break it down accurately based on the scenario you've provided.

The scenario states:

• Jaxon spends at least 90 minutes on homework (which means 90 minutes is included, represented as closed circle at 90).
• Jaxon spends no more than 100 minutes (which means 100 minutes is not included, represented as open circle at 100).

In terms of an inequality, this would be: \[ 90 \leq x < 100 \]

Let's review the graphs again based on this:

1. First Graph: Shading between 90 (closed circle) and 100 (open circle) accurately represents \( 90 \leq x < 100 \). This means 90 is included, and 100 is not included.

2. Second Graph: Shading between 90 (closed circle) and 100 (closed circle) actually represents \( 90 \leq x \leq 100 \), which includes 100, making it incorrect for this scenario.

3. Third Graph: Shading between 90 (open circle) and 100 (open circle) indicates \( 90 < x < 100 \), which excludes 90 from the solutions, making it wrong.

4. Fourth Graph: Shading from 85 (open circle) to 110 (closed circle) does not match the scenario whatsoever.

Given the correct characteristics of the inequality \( 90 \leq x < 100 \):

• The correct graph should indeed be the first graph where there is shading starting at 90 (closed circle) and going right to just before 100 (open circle).

If you believe that this is not correct, I would like to understand the exact details you’re focusing on to identify the appropriate representation. Please clarify what elements in the graphs don't align with the scenario mentioned. Thank you for your understanding!

Answer 6

its the 4th one

graph the compound inequality x < 8.3 or x > 9.8 open or closed circle? left or right

Answer 7

For the compound inequality \( x < 8.3 \) or \( x > 9.8 \), here's how to graph it:

1. Analyze Each Part of the Inequality:

   • \( x < 8.3 \): This indicates that \( x \) can take any value less than 8.3. You'll represent this with an open circle at 8.3 (since 8.3 itself is not included) and shade to the left.
   • \( x > 9.8 \): This indicates that \( x \) can take any value greater than 9.8. You'll represent this with an open circle at 9.8 (since 9.8 itself is not included) and shade to the right.

2. Graphing:

   • Place an open circle at 8.3 and shade everything to the left.
   • Place an open circle at 9.8 and shade everything to the right.

3. Combining the Graphs:

   • The final graph will show two separate shaded regions: one extending to the left of 8.3 and the other extending to the right of 9.8.

This effectively represents all values less than 8.3 or greater than 9.8, reflecting the compound inequality. If you were to use a number line, it would look like this:

<---o----------------o--->
    8.3             9.8

Where "o" indicates an open circle, and the arrows indicate the direction of shading.

If there is anything more you need regarding this topic, feel free to ask!

Answer 8

thank you correct!! also count the little lines to put the line on like 8 . . . . . . . . . 9 so if you put for example 8.2 its here 8 . 0 . . . . . . . 9

The compound inequality could represent which scenario?

If Janie scores between 8.3 and 9.8 in her gymnastics performance, she qualifies for the next level.
Ms. Choy spent a minimum of $8.30 per person at a dinner party.
Tranh must remake any sculptures that weigh less than 8.3 pounds or more than 9.8 pounds.
Nathaniel earns at most $9.80 per hour worked.

Answer 9

To determine which scenario fits the compound inequality \( x < 8.3 \) or \( x > 9.8 \), let’s analyze each option provided:

1. If Janie scores between 8.3 and 9.8 in her gymnastics performance, she qualifies for the next level.

   • This scenario implies Janie's scores must be greater than or equal to 8.3 and less than or equal to 9.8, which translates to \( 8.3 \leq x \leq 9.8 \). This does not match the compound inequality \( x < 8.3 \) or \( x > 9.8 \).

2. Ms. Choy spent a minimum of $8.30 per person at a dinner party.

   • This statement means the minimum spent is $8.30, but does not place an upper limit. It doesn't directly align with a situation where amounts under 8.3 or over 9.8 are being considered.

3. Tranh must remake any sculptures that weigh less than 8.3 pounds or more than 9.8 pounds.

   • This scenario clearly aligns with the compound inequality \( x < 8.3 \) or \( x > 9.8 \), as it specifies that sculptures weighing outside of this range (less than 8.3 or more than 9.8) must be remade.

4. Nathaniel earns at most $9.80 per hour worked.

   • This implies earning can be as much as $9.80 but does not prohibit earnings below $8.30. This does not match the compound inequality either, particularly as it doesn't account for weights under 8.3.

Based on this analysis, the correct scenario that the compound inequality \( x < 8.3 \) or \( x > 9.8 \) represents is:

Tranh must remake any sculptures that weigh less than 8.3 pounds or more than 9.8 pounds.

If you have any further questions or need additional clarification, feel free to ask!

Answer 10

Children under 10 years and older people over 65 years receive a discount on movie tickets. Let x represent the age of a person who receives a discount.

Which inequality represents the age of a child who receives a discount?

Which inequality represents the age of an older person who receives a discount?

Which compound inequality represents the age of a person who receives a discount?

Answer 11

Let's break down the problem based on the criteria provided for receiving a discount on movie tickets.

1. Children under 10 years:

   • For children who are under 10 years, we use the inequality \( x < 10 \).

2. Older people over 65 years:

   • For older people who are over 65 years, we use the inequality \( x > 65 \).

3. Compound inequality for people who receive a discount:

   • The compound inequality that represents both children under 10 and older people over 65 is: \[ x < 10 \quad \text{or} \quad x > 65 \]

Putting it all together:

• Inequality for a child receiving a discount: \( x < 10 \)
• Inequality for an older person receiving a discount: \( x > 65 \)
• Compound inequality for a person receiving a discount: \( x < 10 \quad \text{or} \quad x > 65 \)

If you have any more questions or need further clarification, feel free to ask!