Question

State all integer values of x in the interval [-4,3] that satisfy the following inequality 5x-5> -20

Answer 1

Inequality:

$5x-5>-20$

The integer values included in [-4, 3] are: -4, -3, -2, -1, 0, 1, 2, and 3.

To know which are included, we have to solve the inequality as follows:

$5x-5+5>-20+5$$5x>-15$$x>-\frac{15}{5}$$x>-3$

Then, all the values greater than -3 are included, but not -3.

Answer: x = -2, -1, 0, 1, 2, and 3.