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>-(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.