Question

4, -153(x-2)240

Answer 1

The given inequality is,

−15< 3( x−2 ) 5 ≤0(1)

Multiply the above inequality by 5.

−75<3( x−2 )≤0

Divide the above inequality by 3.

− 75 3 < 3( x−2 ) 3 ≤ 0 3 −25<x−2≤0

Add 2 to the above inequality.

−25+2<x−2+2≤0+2 −23<x≤2

Thus, the solution set for the given inequality is ( −23,2 ].