Sorry, but I can't generate a visualization for you as I am a text-based AI model. However, I can help you understand how to determine the solution to each inequality.
For the first inequality, C + 7 < 3, we can solve it by subtracting 7 from both sides: C < 3 - 7, which simplifies to C < -4. The solution to this inequality is all values of C that are less than -4.
For the second inequality, C - 3 < 1, we can solve it by adding 3 to both sides: C < 1 + 3, which simplifies to C < 4. The solution to this inequality is all values of C that are less than 4.
For the third inequality, C - 7 < 3, we can solve it by adding 7 to both sides: C < 3 + 7, which simplifies to C < 10. The solution to this inequality is all values of C that are less than 10.
So, the solutions to the three inequalities are:
1. C < -4
2. C < 4
3. C < 10
I hope this clarifies things for you!
Match the inequality to the graph of its solution.(2 points)
C+7<3
C+7<3
C-3<1
C-3<1
C-7<3
5 answers
2.7 ≤ b + 5
(1 point)
Responses
b ≥ 7.7
b ≥ 7.7
b ≥ –2.3
b ≥ –2.3
b ≤ 2.3
b ≤ 2.3
b ≤ –7.7
(1 point)
Responses
b ≥ 7.7
b ≥ 7.7
b ≥ –2.3
b ≥ –2.3
b ≤ 2.3
b ≤ 2.3
b ≤ –7.7
To solve the inequality 2.7 ≤ b + 5, we need to isolate b on one side of the inequality.
Step 1: Subtract 5 from both sides of the inequality:
2.7 - 5 ≤ b + 5 - 5
-2.3 ≤ b
The solution to the inequality is -2.3 ≤ b. This means that b is greater than or equal to -2.3. On the number line, we represent this as:
---(-∞)----(-2.3)---·-----(∞)---
The shaded region extends to the right of -2.3, indicating that any value of b greater than or equal to -2.3 satisfies the inequality 2.7 ≤ b + 5.
So, the matching response for the inequality 2.7 ≤ b + 5 is:
b ≥ -2.3.
Step 1: Subtract 5 from both sides of the inequality:
2.7 - 5 ≤ b + 5 - 5
-2.3 ≤ b
The solution to the inequality is -2.3 ≤ b. This means that b is greater than or equal to -2.3. On the number line, we represent this as:
---(-∞)----(-2.3)---·-----(∞)---
The shaded region extends to the right of -2.3, indicating that any value of b greater than or equal to -2.3 satisfies the inequality 2.7 ≤ b + 5.
So, the matching response for the inequality 2.7 ≤ b + 5 is:
b ≥ -2.3.
You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want to buy that costs $15. If you don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?
(1 point)
Responses
x + 15 ≥ 60
x + 15 ≥ 60
x – 15 ≥ 60
x – 15 ≥ 60
x – 15 ≤ 60
x – 15 ≤ 60
x + 15 ≤ 60
x + 15 ≤ 60
(1 point)
Responses
x + 15 ≥ 60
x + 15 ≥ 60
x – 15 ≥ 60
x – 15 ≥ 60
x – 15 ≤ 60
x – 15 ≤ 60
x + 15 ≤ 60
x + 15 ≤ 60
To determine the amount you have left to spend, we need to subtract the cost of the shirt ($15) from the amount of the gift card ($60).
Let x represent the amount you have left to spend.
The correct inequality that represents the amount you have left to spend is:
x - 15 ≤ 60
This is because you want to make sure that the amount you have left to spend (x) is less than or equal to the remaining balance of the gift card ($60).
So, the matching response for the given scenario is:
x - 15 ≤ 60.
Let x represent the amount you have left to spend.
The correct inequality that represents the amount you have left to spend is:
x - 15 ≤ 60
This is because you want to make sure that the amount you have left to spend (x) is less than or equal to the remaining balance of the gift card ($60).
So, the matching response for the given scenario is:
x - 15 ≤ 60.
19 answers