Solve the inequality

6 ≤ –3 (2x – 4) < 12


Given inequality


6 ≤ -3 (2x – 4) < 12


Dividing the inequality by 3 we get.


2 ≤ - (2x – 4) < 4


Multiplying the inequality by -1.


-2 ≥ 2x – 4 > -4 [multiplying the inequality with -1 changes the inequality sign.]


-2 + 4 ≥ 2x – 4 + 4 > -4 + 4


2 ≥ 2x > 0


Dividing the inequality by 2


0 < x ≤ 1


all real numbers x greater than 0 but less than or equal to 1 are solution of given equality.


x (0, 1]


2
1