Question

How do you graph `-x>=20` on the coordinate plane?

Answer 1

See a solution process below:

Explanation:

First solve for `x` by multiplying each side of the inequality by `color(blue)(-1)`. However, because we are multiplying or dividing an inequality by a negative number we need to reverse the inequality operator:

`color(blue)(-1) xx -x color(red)(<=) color(blue)(-1) xx 20`

`x color(red)(<=) -20`

graph{x + 20 <= 0 [-100, 100, -50, 50]}

The boundary line is a solid line because the inequality operator contains an or equal to clause