Question

Correct me ?


Choose the correct description of the graph of the compound inequality

x - 2 > -4 and 3x less than or greater to 15

A number line with an open circle on -2, shading to the left, and a closed circle on 5, shading to the right.

A number line with a closed circle on -2, shading to the left, and an open circle on 5, shading to the right.

A number line with an open circle on -2, a closed circle on 5, and shading in between.

A number line with a closed circle on -2, an open circle on 5, and shading in between.

Answer 1

my answer : A number line with an open circle on -2, shading to the left, and a closed circle on 5, shading to the right.

Answer 2

you have x - 2 > -4
x > -2

-2 < x

3x <= 15
x <= 5

combine -2 < x and x <= 5

you get:

-2 < x <= 5

so x is all the numbers -1, 0, 1, 2, 3, 4, 5

Is that really want your choice (a) is saying?

Answer 3

-want *what

Answer 4

A number line with a closed circle on -2, an open circle on 5, and shading in between. ?

Answer 5

you have -2 < x and since you have < then it's an open circle

you have x <= 5 and since you have <= then it's a closed circle

in general:

< or > use an open circle
<= or >= use a closed circle

Answer 6

A number line with an open circle on -2, a closed circle on 5, and shading in between. ?