Question

Choose the correct description of the graph of the compound inequality

x - 3 < -9 or x + 5 >= 10

A. A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right.

B. A number line with a closed circle on -6, shading to the left, and an open circle on 5, shading to the right.

C. A number line with an open circle on -6, a closed circle on 5, and shading in between.

D. A number line with a closed circle on -6, an open circle on 5, and shading in between.

Answer 1

if you simplify x - 3 < -9 or x + 5 >= 10 you get
x < -6 or x >= 10

The solution lies less than -6 or greater than 10. if it said AND then it would be D. However, because it says OR, the answer would be A

Answer 2

that should say x >= 5, not 10

Answer 3

. A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right.