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?

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

the answer to this question is "motor unit"

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers