Question

Which of the following is the correct graph of the solution to the inequality −8 greater than or equal to −5x + 2 > −38?

number line with an open dot at 2 with shading to the left and another open dot at 8 with shading to the right.

number line with an open dot at 8 and at 2 with shading in between.

number line with a closed dot on 2 and an open dot on 8 and shading in between.

number line with closed dots at 2 and 8 with shading between the 2 and the 8.

Answer 1

\[-8\ge-5x+2>-38\]

Answer 2

is this what you are asking?

Answer 3

the second one

Answer 4

wait what?

Answer 5

which one is the correct graph of the solution

Answer 6

-8 >= -5x + 2
-8 - 2 >= -5x
-10/-5 <= x (flip the sigh when dividing by a negative)
2 <= x

-5x + 2 > -38
-5x > -38 - 2
-5x > -40
x < -40/-5
x < 8

solution is : closed dot on 2, open dot on 8, shading in between