Question

Translate the following into an inequality:What number plus four is at most 6?k = 4 < 6k + 4 ≤ 6k + 4 > 6k + 4 ≥ 6

Answer 1

$k+4\leq6$

1) In this problem, we need to call that number, a variable. Whenever we read or hear "at most" that means "the maximum value is". So we can write out the following expression:

$\begin{gathered} k+4\leq6 \\ k\leq6-4 \\ k\leq2 \end{gathered}$

Note that by solving this inequality we can tell which maximum number k must be.

Thus, the answer is:

$k+4\leqslant6$