Question

Given x is a set of {-3,-4,-5,-6} and 9 <= 1 - 2x, find the possible values of x. Also represent it's solution set on the number line.

Answer 1

Given: −3x≤2x−131<61

Taking L.C.M. of 3,2 and 6 is 6.

−3x×6≤2x×6−34×6<61×6

−2x≤3x−8<1

⇒−2x≤3x−8 and 3x−8<1