Question

The inequality 1 ≤ 2x − 5 is true for all values of x in which of the following sets?

1. 0, 1, and 2
2. 1, 2, and 3
3. 2, 3, and 4
4. 3, 4, and 5​

Answer 1

4. 3, 4, and 5​

Explanation:

1 ≤ 2x − 5

Add 5 to each side

1+5 ≤ 2x − 5+5

6 ≤ 2x

Divide by 2

6/2 ≤ 2x/2

3 ≤ x

x must be greater than or equal to 3