Final Answer:
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.