Question

Choose the correct description of the graph of the compound inequality:

x − 3 < −9 or x + 5 greater than or equal to 12

A number line with a closed circle on −6, shading to the left, and an open circle on 7, shading to the right
A number line with an open circle on −6, a closed circle on 7, and shading in between
A number line with an open circle on −6, shading to the left, and a closed circle on 7, shading to the right
A number line with a closed circle on −6, an open circle on 7, and shading in between

Answer 1

`x - 3 < -9 ~or~ x + 5 \ge 12`

Add 3 to both sides of the left inequality.
Subtract 5 from both sides of the right inequality.


`x < -6 ~or~ x \ge 7`

From the left inequality, you get:
An open circle on -6. Shading to the left.

From the right inequality, you get:
A closed circle on 7. Shading to the right.

Answer: The third choice.