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
Accepted Solution
A:
[tex] x - 3 < -9 ~or~ x + 5 \ge 12 [/tex]
Add 3 to both sides of the left inequality. Subtract 5 from both sides of the right inequality.
[tex] x < -6 ~or~ x \ge 7 [/tex]
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.