Question

I'm confused.

Answer 1

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 an open circle on -6, shading to the left, and a closed 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 a closed circle on -6, shading to the left, and an open 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 2

I thought when theres a negative the inequality sign is suppose to change directions.

Answer 3

the inequality sign flips when
1) you multiply or divide by a negative
2) take the reciprocal.

additions and subtractions do not affect the direction of inequality

Answer 4

1) \[x-3<-9\qquad x+5\ge12\\
\implies x<-6\qquad x\ge7\]