Question

Which inequalities have no solution? Check all of the boxes that apply.

Answer 1

Both A and C are correct 

Answer 2

Answer:  The answer is (A) and (C).

Step-by-step explanation:  We are given four options and we are to check which of these inequalities have no solution.

(A) We have

$x>x\\\\\Rightarrow x-x>0\\\\\Rightarrow 0>1,$

which cannot be possible, so this inequality will have no solution.

(B) We have

$-3x=-3x\\\\\Rightarrow -3x+3x=0\\\\\Rightarrow 0=0,$

which is always true, so this equation will have infinitely many solutions.

(C) We have

$-4+x>-2+x\\\\\Rightarrow -4+x+2-x>0\\\\\Rightarrow -2>0,$

which is never true, so this inequality will have no solution.

(D) We have

$x-2$

which is always true, so this inequality will have infinitely many solutions.

Thus, the correct options are (A) and (C).