Question

Solve the inequality: e - 7 ≤ 7.
a) e ≤ 14
b) e ≥ 14
c) e ≤ -14
d) e ≥ -14

Answer 1

To solve the inequality e - 7 ≤ 7, we add 7 to both sides, simplifying it to e ≤ 14, which indicates e is at most 14 hours.

Step-by-step explanation:

To solve the inequality e - 7 ≤ 7, we aim to isolate e on one side of the inequality.

1. Add 7 to both sides of the inequality:
2. e - 7 + 7 ≤ 7 + 7
3. Simplify both sides of the inequality:
4. e ≤ 14

Hence, the solution to the inequality is e ≤ 14, which means that e is at most 14 hours. We should always check that our answer is reasonable, which in this case, it is, as adding 7 to a number less than or equal to 7 will always result in a number that is less than or equal to 14.