1
Question
Solve the inequalities for real x.3(x−1)≤2(x−3)
3(x−1)≤2(x−3)
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Solution
Given, 3(x−1)≤2(x−3)
⇒3x−3≤2x−6
⇒3x−2x≤−6+3
⇒x≤−3⇒x∈(−∞,−3]
⇒3x−3≤2x−6
⇒3x−2x≤−6+3
⇒x≤−3
⇒x∈(−∞,−3]
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