Question

Choose the correct description of the graph of the compound inequality

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

A) A number line with an open circle on 0, shading to the left, and a closed circle on 2, shading to the right
B) A number line with a closed circle on 0, shading to the left, and an open circle on 2, shading to the right
C) A number line with a closed circle on 0, an open circle on 2, and shading in between D) A number line with an open circle on 0, a closed circle on 2, and shading in between

Answer 1

first simplify the inequalities:

3x+2>2 --> x>0 that corresponds to an open circle at 0 and shading to the right

3x <= 6 --> x<=2 that is a closed circle at 2 and shading to the left

together they have shading between open@0 and closed @2 so the

Answer (D) is correct