Question

How do you solve `-1\leq \frac { x - 2} { 21}`?

Answer 1

`x ge -19`

Explanation:

You multiply both sides of the inequality by 21 (to clear out the denominator)

`-21 le x-2`

Note that multiplying both sides of an inequality must be done with care. If the number you are multiplying by is negative, the sign of the inequality will change! In this case, though, 21 is a positive number - so the "less than or equal to" sign stays intact.

Add 2 to both sides of the inequality:

`-21+2 le x-2+2=x`

Thus

`x ge -19`