Final answer:
The inequality x - 14 > 10 is solved by adding 14 to both sides, yielding x > 24. Example solutions are x = 25, x = 30, and x = 35, which all satisfy the inequality.
Step-by-step explanation:
The inequality in question is x - 14 > 10. To solve this, you would first isolate x by adding 14 to both sides of the inequality:
x - 14 + 14 > 10 + 14
x > 24
Next, we can list three solutions to the inequality:
x = 25
x = 30
- x = 35
These are all examples of numbers that, when substituted for x, would make the inequality true. To check the math, substitute these values back into the original inequality to verify that the left side is indeed greater than 10.