which solutions are the values to the inequality -8-6x ≤1

1 answer

To find the values that satisfy the inequality -8-6x ≤1, we can solve for x.

-8-6x ≤ 1

To isolate x, we need to move the -8 to the right side:

-6x ≤ 1 + 8

Simplifying:

-6x ≤ 9

Now, we need to get x by itself. To do this, we divide both sides of the inequality by -6. When dividing by a negative number, the direction of the inequality sign changes:

x ≥ 9/(-6)

Simplifying:

x ≥ -3/2

Therefore, the set of solutions for the inequality -8-6x ≤1 is x ≥ -3/2 or x ≥ -1.5.