Question

Choose the correct description of the graph of the compound inequality

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

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 an open circle on -1, a closed 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.

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

Answer 1

http://www.wolframalpha.com/input/?i=x+-+2+%3E+-3+and+3x+%3C%3D+12

Answer 2

that helps... but which one is it?

Answer 3

Sorry, old guy, don't know anything about circles and whatnot, does closed mean includes and open excluded?

Answer 4

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


x > -3+2 and x <= 12/3


x > -1 and x <= 4


-1 < x and x <= 4


-1 < x <= 4


So this means that the graph on the number line looks like a line shaded segment from -1 to 4 but there's an open circle at -1 and a closed circle at 4