Question

Which of the following is not a way to represent the solution of the inequality 7 − 9x − (x + 12) less than or equal to 25? (1 point)

x greater than or equal to −3
x less than or equal to −3
−3 less than or equal to x
A number line with a closed circle on negative 3 and shading to the right

Answer 1

Lest solve our inequality first:

`7-9x-(x+12) \leq 25`

`7-9x-x-12 \leq 25`

`-10x-5 \leq 25`

`-10x \leq 30`

`x \geq (30)/(-10)`

`x \geq -3`

We can conclude that x less than or equal to −3 is not a way to represent the solution of the inequality 7 − 9x − (x + 12) less than or equal to 25.