Question

GWhich inequalities have no solution? Check all of the boxes that apply.XX-3x -3x–4 + x>-2 + xX-2

Answer 1

For every number x, x = x, not x < x. So, the inequality x < x has no solution.

Since -3x = -3x for every real number, the inequality

`-3x\leq-3x`

holds for every real number, that is, every number is a solution.

Consider the inequality

`-4+x>-2+x`

Subtract x on both sides gives -4 > -2, which is not possible.

Hence the inequality - 4 + x > - 2 + x has no solution.

Consider the inequality

[tex]x-2Subtract x on both sides gives -2 < 3, which is true.

Every real number is a solution of the inequality. Hence the inequality has solution.

Thus the inequalities with no solution are: x < x and -4+x>-2+x