Answer:
[tex]\[-6 \leqslant x \leqslant 3\][/tex]
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
[tex]\[x\geqslant -6\][/tex]
b) All real numbers at most 3
[tex]\[x \leqslant 3\][/tex]
Combining the two inequalities to generate the compound inequality:
[tex]\[-6 \leqslant x \leqslant 3\][/tex]