Find the solution for modulus inequality
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Step-by-step explanation:
Since ∣x∣=x and −x
Therefore, ∣x−1∣>=2 may be calculated as:
x−1>=2 and −(x−1)>=2
⇒x>=2+1 and −x+1>=2
⇒x>=3 and −x>=2−1
⇒x>=3 and −x>=1
⇒x>=3 and x<=−1
Therefore, x lies between (−∞,−1]∪[3,+∞).
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