Question

Solve for xxx.

Answer 1

Answer:

5≤x≤31/3

5, is less than or equal to, x, is less than or equal to, start fraction, 31, divided by, 3, end fraction

Step-by-step explanation:

Given two inequalities

3x-8≤23 and −4x+26≥6

Solving both individually for x

For the inequality 3x-8≤23

Moving -8 to the other side;

3x ≤ 23+8

3x≤31

x≤31/3... 1

For inequality −4x+26≥6

Taking 26 to the other side, we have:

-4x ≥ 6-26

-4x ≥ -20

Dividing both sides by -4

x≥20/4 .

x≥5 ... 2

Combining both inequality 1 and 2, we have:

5≤x≤31/3