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

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

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

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

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

Question

Karissa

Mathematics

29 July, 00:06

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

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

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

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

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

+4

Answers (1)

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Precious Reid · Answer 1

We can translate the given statement into-8 ≥ - 5x + 2 > - 38.

In this case, we can dissect the inequality into two parts:

-8 ≥ - 5x + 2 and - 5x + 2 > - 38

-8 ≥ - 5x + 2 5x ≥ 10x ≥ 2 (closed dot)

-5x + 2 > - 38 5x < 40x < 8 (open dot)

The answer then is c) number line with a closed dot on 2 and an open dot on 8 and shading in between