Question

Write a compound inequality that represents the situation.

all real numbers at least –6 and at most 3

Answer 1

Answer:

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

Step-by-step 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:

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