Question

Write a compound inequality that represents the situation.

all real numbers at least –6 and at most 3

Answer 1

`\[-6 \leqslant x \leqslant 3\]`

Explanation:

The requirement is to represent a compound inequality with all real numbers at least –6 and at most 3.

This can be broken into two parts:

a) All real numbers at least -6

`\[x\geqslant -6\]`

b) All real numbers at most 3

`\[x \leqslant 3\]`

Combining the two inequalities to generate the compound inequality:

`\[-6 \leqslant x \leqslant 3\]`