Question

Find the value of k that makes the inequality 2kx - 3k < 2x + 4 + 3kx have no solution

Answer 1

The value of k that makes the inequality have no solution is -2 .

Explanation

Given inequality is....

$2kx - 3k < 2x + 4 + 3kx$

First we will get only the x-terms together in left side. So....

$2kx-2x-3kx$

Now for getting no solution, the co efficient of 'x' should be 0. That means...

$-k-2 =0\\ \\ k= -2$

So, the value of 'k' for getting no solution will be -2.