choose the correct description of the graph of the compound inequality

3x + 2 2 and 3x ≤ 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.

Question

choose the correct description of the graph of the compound inequality

3x + 2 > 2 and 3x ≤ 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.

hero · Answer

Did you try using https://www.desmos.com ?

anonymous · Answer

not really sure how to use it :/ @Hero

anonymous · Answer

@jim_thompson5910

hero · Answer

You have to isolate x in both inequalities first. Please do that before graphing. Also, you don't have to ask everyone in OS to help you. I'm here helping you now.

anonymous · Answer

well the 2nd one isolated is x< 2

hero · Answer

Yes, graph that in desmos

hero · Answer

Isolate the other one as well and graph that

hero · Answer

You should get something that looks like this: https://www.desmos.com/calculator/kkcffqq26x

hero · Answer

The key thing to notice is the region where both regions overlap

anonymous · Answer

yes! that's what mine looks like

anonymous · Answer

so is the answer D?

hero · Answer

Even though the answer choices mention number line, you can still figure out which one it is. 

YES, correct.

anonymous · Answer

thank you!!

hero · Answer

Great job