Question

which inequalities have no solution? check all of the boxes that apply.
☑️ ( x > x )
□ ( -3x leq -3x )
□ ( -4 + x > -2 + x )
□ ( x - 2 < x + 3 )
retry☑️

Explanation:

Step1: Analyze $x > x$

A number cannot be greater than itself. This inequality is always false, so it has no solution.

Step2: Analyze $-3x \leq -3x$

Subtract $-3x$ from both sides: $0 \leq 0$, which is always true. This inequality has infinitely many solutions.

Step3: Analyze $-4 + x > -2 + x$

Subtract $x$ from both sides: $-4 > -2$, which is false. This inequality has no solution.

Step4: Analyze $x - 2 < x + 3$

Subtract $x$ from both sides: $-2 < 3$, which is always true. This inequality has infinitely many solutions.

Answer:

A. $x > x$
C. $-4 + x > -2 + x$