Someone please help middle school math

x ≥ -59 or x  ≤-43

Step-by-step explanation:

|x+51|≥8

We know eitherx+51≥8orx+51≤−8

x+51≥8(Possibility 1)

x+51−51≥8−51(Subtract 51 from both sides)

x≥−43

x+51≤−8(Possibility 2)

x+51−51≤−8−51(Subtract 51 from both sides)

x≤−59

x≥−43 or x≤−59