Question

Choose the correct description of the graph of the compound inequality

x - 2 > -3 and 3x <= 12
Answer

A number line with an open circle on -1, a closed circle on 4, and shading in between.

A number line with a closed circle on -1, shading to the left, and an open circle on 4, shading to the right.

A number line with a closed circle on -1, an open circle on 4, and shading in between.

A number line with an open circle on -1, shading to the left, and a closed circle on 4, shading to the right.

Answer 1

I'd start by isolating x in both equations. You do that the same way as if it were an equals sign except for one thing. If you multiply or divide by a negative number, > becomes < and < become >.
So the first equation:
x-2 > -3
add 2 to both sides to get
x > -1

Answer 2

You tell me how you'd do the second equation.