Answer:
[tex]-10\le x\le-9[/tex]
Explanations:
Given the following inequality expressions:
[tex]x+7\leq-2\text{ or }x+7\ge-3[/tex]
The inequality expression x + 7 ≥ - 3 can be written as -3 ≤ x + 7.
Combine -3 ≤ x + 7 with x + 7 ≤ -2 to have:
[tex]-3\leq x+7\leq-2[/tex]
Subtract 7 from all the sides to have:
[tex]\begin{gathered} -3-7\leq x+7-7\leq-2-7 \\ -10\leq x\leq-9 \end{gathered}[/tex]
Hence the solution to the system of inequalities is -10 ≤ x ≤ -9
