Question
Choose the correct solution for x + 12 ≥ 5(1 point) Responses x ≥ -7 x is greater than or equal to-7 x ≥ 7 x is greater than or equal to 7 x ≥ -17 x is greater than or equal to-17 x ≥ 17 x is greater than or equal to17 Question 2 Choose the correct solution for x + 3 12 < 9 (1 point) Responses x < 5 1/2 x < 5 1/2 x < 6 1/2 x < 6 1/2 x > 5 1/2 x > 5 1 half x > 6 12 x > 6 12 Question 3 Choose the correct solution for 6x < 14(1 point) Responses x > 2.3 x > 2.3 x < -2.3 x < -2.3 x > -2.3 x > -2.3 x < 2.3 x < 2.3 Question 4 Choose the correct word from each dropdown to make the statement true.(1 point) A graph of the inequality x < 3 would have a(n) circle at 3 and an arrow going to the . Question 5 Choose the correct solution for 5x - 11 ≤ 14(1 point) Responses x ≤ 15 x is less than or equal to 15 x ≤ -9 x is less than or equal to -9 x ≤ 5 x is less than or equal to 5 x ≤ 1.8 x is less than or equal to 1.8 Question 6 Choose the correct solution for 6.2x ≥ 55.8(1 point) Responses x ≥ 9 x is greater than or equal to 9 x > 9 x is greater than 9 x ≥ -9 x is greater than or equal to -9 x > -9 x > -9 Question 7 Choose the correct word from each dropdown to make the statement true. (1 point) A graph showing the inequality x ≥ -6 would have a(n) circle at -6 and an arrow going to the . Question 8 Twelve less than eight times a number is more than 52. What are all the possible values of the number? Choose the inequality that could be used to solve this problem. (1 point) Responses x ≥ 8 x is greater than or equal to 8 8x -12 ≥ 52 8x -12 is greater than or equal to 52 8x -12 < 52 8x -12 < 52 8x - 12 > 52 8x - 12 > 52 Question 9 Choose the correct option from each dropdown to make the statement true. (1 point) A graph showing the inequality 7x < 49 would have a(n) circle at and an arrow going to the left. Question 10 Choose the correct solution for x + 16 < 4(1 point) Responses x < -12 x < -12 x > 20 x > 20 x < 20 x < 20 x > -12 x > -12
Answers
GPT-4o mini
Here are the solutions for each question:
**Question 1:** Choose the correct solution for \( x + 12 \geq 5 \).
The inequality can be solved as follows:
\[
x + 12 \geq 5
\]
Subtracting 12 from both sides:
\[
x \geq 5 - 12
\]
\[
x \geq -7
\]
**Correct Responses:** \( x \geq -7 \) or \( x \) is greater than or equal to -7.
---
**Question 2:** Choose the correct solution for \( x + 3 < 12 \).
Solving:
\[
x + 3 < 12
\]
Subtracting 3 from both sides:
\[
x < 12 - 3
\]
\[
x < 9
\]
**Correct Responses:** None of the responses are correct here. If the response options included \( x < 9 \), it would be correct.
---
**Question 3:** Choose the correct solution for \( 6x < 14 \).
Solving:
\[
6x < 14
\]
Dividing both sides by 6:
\[
x < \frac{14}{6}
\]
\[
x < \frac{7}{3} \approx 2.33
\]
**Correct Responses:** \( x < 2.3 \)
---
**Question 4:** A graph of the inequality \( x < 3 \) would have a(n) circle at 3 and an arrow going to the left.
---
**Question 5:** Choose the correct solution for \( 5x - 11 \leq 14 \).
Solving:
\[
5x - 11 \leq 14
\]
Adding 11 to both sides:
\[
5x \leq 25
\]
Dividing by 5:
\[
x \leq 5
\]
**Correct Responses:** \( x \leq 5 \) or \( x \) is less than or equal to 5.
---
**Question 6:** Choose the correct solution for \( 6.2x \geq 55.8 \).
Solving:
\[
6.2x \geq 55.8
\]
Dividing both sides by 6.2:
\[
x \geq \frac{55.8}{6.2} \approx 9
\]
**Correct Responses:** \( x \geq 9 \) or \( x \) is greater than or equal to 9.
---
**Question 7:** A graph showing the inequality \( x \geq -6 \) would have a(n) circle at -6 and an arrow going to the right.
---
**Question 8:** Twelve less than eight times a number is more than 52. What are all the possible values of the number?
The inequality to express this situation is:
\[
8x - 12 > 52
\]
**Correct Responses:** \( 8x - 12 > 52 \)
---
**Question 9:** A graph showing the inequality \( 7x < 49 \) would have a(n) circle at 7 and an arrow going to the left.
---
**Question 10:** Choose the correct solution for \( x + 16 < 4 \).
Solving:
\[
x + 16 < 4
\]
Subtracting 16 from both sides:
\[
x < 4 - 16
\]
\[
x < -12
\]
**Correct Responses:** \( x < -12 \).
---
If you have further questions or need additional assistance, feel free to ask!
**Question 1:** Choose the correct solution for \( x + 12 \geq 5 \).
The inequality can be solved as follows:
\[
x + 12 \geq 5
\]
Subtracting 12 from both sides:
\[
x \geq 5 - 12
\]
\[
x \geq -7
\]
**Correct Responses:** \( x \geq -7 \) or \( x \) is greater than or equal to -7.
---
**Question 2:** Choose the correct solution for \( x + 3 < 12 \).
Solving:
\[
x + 3 < 12
\]
Subtracting 3 from both sides:
\[
x < 12 - 3
\]
\[
x < 9
\]
**Correct Responses:** None of the responses are correct here. If the response options included \( x < 9 \), it would be correct.
---
**Question 3:** Choose the correct solution for \( 6x < 14 \).
Solving:
\[
6x < 14
\]
Dividing both sides by 6:
\[
x < \frac{14}{6}
\]
\[
x < \frac{7}{3} \approx 2.33
\]
**Correct Responses:** \( x < 2.3 \)
---
**Question 4:** A graph of the inequality \( x < 3 \) would have a(n) circle at 3 and an arrow going to the left.
---
**Question 5:** Choose the correct solution for \( 5x - 11 \leq 14 \).
Solving:
\[
5x - 11 \leq 14
\]
Adding 11 to both sides:
\[
5x \leq 25
\]
Dividing by 5:
\[
x \leq 5
\]
**Correct Responses:** \( x \leq 5 \) or \( x \) is less than or equal to 5.
---
**Question 6:** Choose the correct solution for \( 6.2x \geq 55.8 \).
Solving:
\[
6.2x \geq 55.8
\]
Dividing both sides by 6.2:
\[
x \geq \frac{55.8}{6.2} \approx 9
\]
**Correct Responses:** \( x \geq 9 \) or \( x \) is greater than or equal to 9.
---
**Question 7:** A graph showing the inequality \( x \geq -6 \) would have a(n) circle at -6 and an arrow going to the right.
---
**Question 8:** Twelve less than eight times a number is more than 52. What are all the possible values of the number?
The inequality to express this situation is:
\[
8x - 12 > 52
\]
**Correct Responses:** \( 8x - 12 > 52 \)
---
**Question 9:** A graph showing the inequality \( 7x < 49 \) would have a(n) circle at 7 and an arrow going to the left.
---
**Question 10:** Choose the correct solution for \( x + 16 < 4 \).
Solving:
\[
x + 16 < 4
\]
Subtracting 16 from both sides:
\[
x < 4 - 16
\]
\[
x < -12
\]
**Correct Responses:** \( x < -12 \).
---
If you have further questions or need additional assistance, feel free to ask!