Question

Which of the following is the correct graph of the solution to the inequality - 82 -5x + 2 > -38?

-9-8-7 -6
- 5
-4 -3
-2-1
0
1
2
3
4
5
6
7
8
9
-9-8-7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9
-9-8-7-6
- 5 - 4
-3
-2
- 1
0
2.
3
4
5
6
7
8
9
-9-8-7 -6 -5
4
-3 -2
-1
0
1
2
3
---
7
4
5
6
8
9

Answer 1

B

Explanation:

Let's solve your inequality step-by-step.

−8≥−5x+2>−38

−8+−2≥−5x+2+−2>−38+−2(Add -2 to all parts)

−10≥−5x>−40

−10

−5

≥

−5x

−5

>

−40

−5

(Divide all parts by -5)

2≤x<8

Answer:

2≤x<8

This plotted as a graph is as shown in option B