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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 1/2 < 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

1 answer

Here are the correct solutions for each question:

Question 1: Choose the correct solution for \( x + 12 \geq 5 \)
Answer: \( x \geq -7 \)
Explanation: Subtracting 12 from both sides gives \( x \geq -7 \).

Question 2: Choose the correct solution for \( x + 3.5 < 9 \)
Answer: \( x < 5.5 \)
Explanation: Subtracting 3.5 from both sides gives \( x < 5.5 \).

Question 3: Choose the correct solution for \( 6x < 14 \)
Answer: \( x < \frac{14}{6} \) or \( x < 2.33 \) (which can be approximated as \( x < 2.3 \)).
Explanation: Dividing both sides by 6 gives \( x < \frac{14}{6} = 2.33 \).

Question 4: A graph of the inequality \( x < 3 \) would have a(n) open circle at 3 and an arrow going to the left.

Question 5: Choose the correct solution for \( 5x - 11 \leq 14 \)
Answer: \( x \leq 5 \)
Explanation: Adding 11 to both sides gives \( 5x \leq 25 \), then dividing by 5 gives \( x \leq 5 \).

Question 6: Choose the correct solution for \( 6.2x \geq 55.8 \)
Answer: \( x \geq 9 \)
Explanation: Dividing both sides by 6.2 gives \( x \geq \frac{55.8}{6.2} = 9 \).

Question 7: A graph showing the inequality \( x \geq -6 \) would have a(n) closed 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? Choose the inequality that could be used to solve this problem.
Answer: \( 8x - 12 > 52 \)
Explanation: The statement translates to \( 8x - 12 > 52 \).

Question 9: A graph showing the inequality \( 7x < 49 \) would have a(n) open circle at \( 7 \) and an arrow going to the left.
Explanation: Dividing both sides by 7 gives \( x < 7 \).

Question 10: Choose the correct solution for \( x + 16 < 4 \)
Answer: \( x < -12 \)
Explanation: Subtracting 16 from both sides gives \( x < -12 \).

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