If $m\le n$ and $n<p$, then which conclusion is always true?

Question

If $m\le n$ and $n<p$, then which conclusion is always true?

Option A

$m>p$

Option B

$m=p$

Option C — Correct answer

$m<p$

Correct choice.

Option D

$m\ge p$

Explanation

Since $m\le n$ and $n<p$, the strongest always-valid conclusion is $m<p$. Equality between $m$ and $n$ does not affect this.

Chapter Mock 14: Inequality