Solve the inequation x-1≤3x-2≤1/2.
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Step-by-step explanation:
x - 1 ≤ 3x - 2 ≤ 1/2
= x - 1 ≤ 3x - 2 [Taking the first inequality to find x]
= x - 3x ≤ -2 + 1
= -2x ≤ -1
= x ≤ 1/2
3x - 2 ≤ 1/2 [Taking the second inequality to find x]
= 3x ≤ 1/2 + 2
= x ≤ 5/2 x 1/3
= x ≤ 5/6
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