Question

30 POINTS

Which compound inequality is graphed on the number line?

a. 5x ≥ -25 and -6x ≤ -30
b. 3x ≥ -12 and 8x ≤ 16
c. 4x ≥ 12 and 5x ≤ -20
d. -3x ≥ -12 and -8x ≤ 16

Answer 1

B. 3x ≥ -12 and 8x ≤ 16

Explanation:

(Grad Point Verified)

Answer 2

b. 3x ≥ -12 and 8x ≤ 16

Explanation:

Based on the graph, x is less than or equal 2 and greater or equal -4

So solution will be:

x ≥ - 4 and x ≤ 2

OR

-4 ≤ x ≤ 2

a. 5x ≥ -25 and -6x ≤ -30 --->NO because look at the first one

5x ≥ -25

x ≥ -5 ..............>NOT a solution

c. 4x ≥ 12 and 5x ≤ -20 --->NO because look at the first one

4x ≥ 12

x ≥ 3 ..............>NOT a solution

d. -3x ≥ -12 and -8x ≤ 16--->NO because look at the first one

-3x ≥ -12

x ≤ 4 ..............>NOT a solution

b. 3x ≥ -12 and 8x ≤ 16 -------->YES

3x ≥ -12

Divide both sides by 3

x ≥ -4 ------>YES

and

8x ≤ 16

Divide both sides by 8

x ≤ 2 ------>YES

Answer:

b. 3x ≥ -12 and 8x ≤ 16