−3x−5≥−2or
−23≥−3x−5
To solve the first inequality, we can isolate x by first adding 5 to both sides:
-3x - 5 + 5 ≥ -2 + 5
-3x ≥ 3
Next, divide by -3 to solve for x:
x ≤ -1
Therefore, the solution for the first inequality is x ≤ -1.
For the second inequality, we can isolate x by first adding 5 to both sides:
-23 + 5 ≥ -3x - 5 + 5
-18 ≥ -3x
Divide by -3 to solve for x:
6 ≤ x
Therefore, the solution for the second inequality is x ≥ 6.
Combining the solutions for both inequalities, we get x ≤ -1 or x ≥ 6.