Answer:
x≥7 or x≤−14
Explanation:
Let's solve your inequality step-by-step.
|2x+7|≥21
Solve Absolute Value.
|2x+7|≥21
We know either2x+7≥21or2x+7≤−21
2x+7≥21(Possibility 1)
2x+7−7≥21−7(Subtract 7 from both sides)
2x≥14
2x
2
≥
14
2
(Divide both sides by 2)
x≥7
2x+7≤−21(Possibility 2)
2x+7−7≤−21−7(Subtract 7 from both sides)
2x≤−28
2x
2
≤
−28
2
(Divide both sides by 2)
x≤−14
Answer:
x≥7 or x≤−14