Question

Solve -3/4(8k-24)>-12

Answer 1

`-(3)/(4)(8k-24) > -12\ \ \ \ |\teext{change the signs}\\\\(3)/(4)(8k-24) < 12\ \ \ \ |\cdot(4)/(3)\\\\8k-24 < 12\cdot(4)/(3)\\\\8k-24 < 4\cdot4\\\\8k-24 < 16\ \ \ \ |+24\\\\8k < 40\ \ \ \ |:8\\\\k < 5\to k\in(-\infty;\ 5)`