Question

Determine which values in the replacement set make the inequality true.

2 x-4>10

5,6,7,8

Answer 1

To determine which values in the replacement set make the inequality true, substitute each value into the inequality and check if it satisfies the inequality or not. The only value that makes the inequality true is x = 8.

Step-by-step explanation:

To determine which values in the replacement set make the inequality true, we need to solve the inequality equation 2x - 4 > 10. We will substitute each value in the replacement set into the inequality and check if it satisfies the inequality or not.

Let's substitute the values one by one:

• For x = 5: 2(5) - 4 = 10 > 10 is not true.
• For x = 6: 2(6) - 4 = 8 > 10 is not true.
• For x = 7: 2(7) - 4 = 10 > 10 is not true.
• For x = 8: 2(8) - 4 = 12 > 10 is true. Therefore, x = 8 is a solution to the inequality.

Therefore, the only value in the replacement set that makes the inequality true is x = 8.

Answer 2

The values 6, 7, and 8 in the replacement set make the inequality 2x - 4 > 10 true.

Step-by-step explanation:

Substitute each value from the replacement set:

For x = 5: 2(5) - 4 = 6 > 10 (False)

For x = 6: 2(6) - 4 = 8 > 10 (False)

For x = 7: 2(7) - 4 = 10 > 10 (True)

For x = 8: 2(8) - 4 = 12 > 10 (True)

Compare results:

Only the values 7 and 8 resulted in a true statement when substituted into the inequality.

Therefore, 6, 7, and 8 make the inequality true because they satisfy the condition 2x - 4 > 10.