Question

Solve each compound inequality and graph the solutions​

Answer 1

9514 1404 393

Answer:

  x ≤ -20  or  5 ≤ x

  see attached for a graph

Step-by-step explanation:

You have done most of the work of solving the inequalities. The steps are ...

• add the opposite of the constant on the side with the variable
• multiply by the inverse of the coefficient of the variable.

  x/5 -x ≤ -6

  x/5 ≤ -4 . . . . . add 2

  x ≤ -20 . . . . . multiply by 5

__

  8x +1 ≥ 41

  8x ≥ 40 . . . . . add -1

  x ≥ 5 . . . . . . . multiply by 1/8

So, the two inequalities you want to graph are ...

  x ≤ -20 or 5 ≤ x

The values x = -20 and x = 5 are part of the solution set, so there would be solid dots at those points. The shading of the number line will extend outward from those points.