Question

2. 6s-3 (2x- 4) < 12

Answer 1

The given inequality is,

6≤−3( 2x−4 )<12(1)

Divide the above inequality by 3.

6 3 ≤− 3( 2x−4 ) 3 < 12 3 2≤−( 2x−4 )<4 −2≥2x−4>−4

Add 4 to the above inequality.

4−2≥2x−4+4>4−4 2≥2x>0

Divide the above inequality by 2.

2 2 ≥ 2x 2 > 0 2 1≥x>0

Thus, the solution of given inequality is ( 0,1 ].