Question

needed asap please help?! 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

im confused on my first step

Answer 2

Solve each part of the compound inequality

Answer 3

x-2> -4
Add 2 to both sides

Answer 4

x-2>-4
+2 +2
x>-2

Answer 5

so do i flip the symbol?

Answer 6

Good. Now solve the second part:
3x<= 15
Divide both sides by 3

Answer 7

You only flip the symbol if you multiply or divide by a negative number.

Answer 8

oh ok 3/3x<=15/3
x<=5

Answer 9

Now: Think of a number line
So we have: x is greater than -2
Remember: is greater means to the right
So we are thinking of numbers that are to the right of -2 on the number line and...

Answer 10

x is less than or equal to 5
is less than means "to the left of"
So we are thinking of numbers that are to the left of 5

Answer 11

Let's put it all together:

to the right of -2 AND ALSO to the left of 5

Answer 12

Draw a number line and mark those numbers on it.

Answer 13

a closed circle means greater than or equal to right?

Answer 14

yes