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.
