Question

Select the correct answer.

Which graph represents the solution to this inequality?
-(127 + 8) < -21 + 11
OA. tt
-17
-15
-13
-11
-9
7
-5
+
-17
- 15
- 13
-11
-9
-7
-5
Oc.
+
-17
- 15
-13
- 11
-9
7
-5
C
-17
-15 -13
-11
-9
-7
-5

Answer 1

C

Explanation:

Given

-
`(1)/(4)` (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C