1. A political polling agency predicts candidate A will win an election with 54% of the votes. Their poll has a margin of error of 4% both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, x, for candidate A?

Question

50 ≤ x ≤ 58
x ≥ 50 or x ≤ 58
x ≥ 52 or x ≤ 56
52 ≤ x ≤ 56

2. Which set of numbers is included in the solution set of the compound inequality?

{–7, 5, 18, 24, 32}
{–9, 7, 15, 22, 26}
{16, 17, 22, 23, 24}
{18, 19, 20, 21, 22}

3. The image shows a number line ranging from 15 to 25. There are two arrows one starting at 18 closed circle to the left and 22 open circle to the right.

4. Which compound inequality is represented by the graph?

–3 ≤ x < 1
–3 < x ≤ 1
x ≤ –3 or x > 1
x < –3 or x ≥ 1

open circle starting at 1 going to the left ending at -3

5. In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?

x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68

6. Jeremy rides a Ferris wheel. The graph shows h, Jeremy’s height above the ground at any time during the ride.

Which inequality represents the heights shown on the graph?

10 < h < 50
10 ≤ h ≤ 50
h > 10 or h < 50
h ≥ 10 or h ≤ 50

not sure where it starts but it seems like one line both start and end with a closed point and they start or end on 10 and 50

7. A chef knows that ground beef used for hamburger is safe to eat once it reaches 160 degrees Fahrenheit. For optimized taste and safety, he will not allow a hamburger cooked to a temperature under 160 degrees or over 170 degrees to be served. Which graph represents the conditions under which the chef will not allow the hamburger to be served? just tell me if it's one line or two open or close circle?? left or right something like that

8. The weight of a box of cereal can vary 1/4 by of an ounce and still be sold as a full box. Each box is supposed to contain 18 ounces of cereal. Which graph represents the possible weights of boxes that are overfilled or underfilled and cannot be sold as full boxes? just tell me if it's one line or two open or close circle?? left or right something like that

9. To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Which compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size?

4.5 < c < 12
4.5 ≤ c ≤ 12
c < 4.5 or c > 12
c ≤ 4.5 or c ≥ 12

10. Which graph represents the compound inequality?

n < –2 or n ≥ 4

just tell me if it's one line or two open or close circle?? left or right something like that

Answer 1

Here are the answers to each of your questions:

1. Inequality for Candidate A: The possible percent of votes for candidate A, based on a prediction of 54% with a margin of error of 4%, would be represented as:

   • 50 ≤ x ≤ 58

2. Solution Set of the Compound Inequality: Without knowing the specific compound inequality, I can't evaluate which set belongs. However, if you provide the inequality, I can help identify the correct set.

3. Graph Representation for Question 4: The arrows indicate the graph. If you have a closed circle at -3 and an open circle at 1, the compound inequality represented would be:

   • –3 < x < 1 (Because open circles indicate that the endpoints are not included.)

4. Height Inequality for the Play: The height requirement of greater than 64 inches and less than 68 inches can also be written as:

   • x > 64 and x < 68

5. Heights Shown on the Ferris Wheel: Given your description of closed points at 10 and 50, the inequality representing the heights would be:

   • 10 ≤ h ≤ 50

6. Chef's Conditions for Hamburger Temperature: The chef will not allow the hamburger to be served if it is below 160 degrees or above 170 degrees, which would be represented by:

   • Two separate open circles – one starting just below 160 degrees and another just above 170 degrees.

7. Graph Representation for Cereal Weight: If boxes can vary by 1/4 ounce around 18 ounces to still be considered full, the range would be from 17.75 ounces to 18.25 ounces. The graph would display:

   • Two open circles – one at 17.75 (left) and one at 18.25 (right), with the area outside these points shaded to indicate weights that cannot be sold as full boxes.

8. Compound Inequality for Clay Usage: For the clay used in making vases where one size is less than or equal to 4.5 ounces and another size is at least 12 ounces, the compound inequality would be represented as:

   • c ≤ 4.5 or c ≥ 12

9. Graph for the Compound Inequality: The inequality \( n < –2 \) or \( n ≥ 4 \) would be represented by:

   • Two separate graphs – one with an open circle at -2 extending to the left, and the other with a closed circle at 4 extending to the right.

Let me know if you need clarification on any of these points!

Answer 2

70 perecnt at least i passed i didnt answer 3 becuase i JUST EXPLAINED THE GRAPH BUT YOU DIDINT UNDERSTANDDDD

Answer 3

I apologize for any confusion. Let's clarify question 3 regarding the number line you described.

You mentioned that there is a number line ranging from 15 to 25 with a closed circle at 18 pointing to the left and an open circle at 22 pointing to the right. Based on this description:

• Closed Circle at 18: This means that 18 is included in the range.
• Open Circle at 22: This means that 22 is not included in the range.

This would typically represent the compound inequality:

• 18 ≤ x < 22

If you have any more clarifications or need further assistance, feel free to ask! Again, I'm sorry for any misunderstandings in my previous responses.