Question

Which graph represents the solution set of the compound inequality Negative 4 less-than-or-equal-to 3x minus 1 and 2 x + 4 less-than-or-equal-to 18?

Answer 1

first graph or A

Explanation:

took the test on edge! have a good day peeps:)

Answer 2

a) First graph

The solution of the given inequalities -1 ≤ x ≤ 7

Step-by-step explanation

Given two inequalities

- 4 ≤ 3 x -1 ...(i)

2 x +4 ≤ 18 ...(ii)

From(i)

- 4 ≤ 3 x -1

Adding '1' on both sides , we get

- 4 + 1 ≤ 3 x - 1 +1

- 3 ≤ 3 x

Dividing '3' on both sides , we get

-1 ≤ x ...(a)

From (ii)

2 x +4 ≤ 18

subtracting '4' on both sides , we get

2 x + 4 - 4 ≤ 18 -4

2 x ≤ 14

dividing '2' on both sides, we get

x ≤ 7 ..(b)

Now the solution of two inequalities From(a) and (b)

-1 ≤ x ≤ 7

Final answer:-

The graph of the two inequalities is first graph