Question

Choose the correct description of the graph of the compound inequality

x - 2 > -10 and 2x less than or greater to 12


A.) A number line with a closed circle on -8, an open circle on 6, and shading in between.

B.) A number line with a closed circle on -8, shading to the left, and an open circle on 6, shading to the right.

C.) A number line with an open circle on -8, shading to the left, and a closed circle on 6, shading to the right.

D.) A number line with an open circle on -8, a closed circle on 6, and shading in between.

Answer 1

hold the phone
there is no such thing as "less than or greater to"
maybe "less than or equal to"?

Answer 2

\(x-2>-10\) or \(2x\leq 12\) ?

Answer 3

we can solve each separately
\[x-2>-10\]
\[x>-8\] OR
\[2x\leq 12\]
\[x\leq 6\]

Answer 4

oops should be "AND" in which case it would be
\[-8<x\leq 6\]

Answer 5

so picture would look like
A number line with an open circle on -8, a closed circle on 6, and shading in between.

Answer 6

Thanks for you help :)

Answer 7

yw