2
Question
Solve the inequalities
6≤−3(2x−4)<12
6≤−3(2x−4)<12
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Solution
6≤−3(2x−4)<12⇒−2≥2x−4>−4⇒−4+4<2x≤−2+4⇒0<x≤2⇒x∈(0,2]
⇒−2≥2x−4>−4
⇒−4+4<2x≤−2+4
⇒0<x≤2
⇒x∈(0,2]
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