Question

Choose the correct description of the graph of the compound inequality

3x + 2 > 2 and 3x less than or greater to 6.

A number line with an open circle on 0, shading to the left, and a closed circle on 2, shading to the right

A number line with a closed circle on 0, shading to the left, and an open circle on 2, shading to the right

A number line with a closed circle on 0, an open circle on 2, and shading in between

A number line with an open circle on 0, a closed circle on 2, and shading in between

Answer 1

3x + 2 > 2 and 3x less than or equal to 6.
and means BOTH and usually means it's shaded between.

3x + 2 > 2
2 - 2 = 0
3x = 0
x = anything greater than 1.


3x less than or equal to 6.
6 / 3 = 2
x = anything that is 2 or less.

the graph is D, A number line with an open circle on 0, a closed circle on 2, and shading in between

Answer 2

thank you !