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X+7 less than or equal to -2 or x+7 greater than or equal to -3

X+7 less than or equal to -2 or x+7 greater than or equal to -3-example-1
User Seulgi
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1 Answer

23 votes
23 votes

Answer:


-10\le x\le-9

Explanations:

Given the following inequality expressions:


x+7\leq-2\text{ or }x+7\ge-3

The inequality expression x + 7 ≥ - 3 can be written as -3 ≤ x + 7.

Combine -3 ≤ x + 7 with x + 7 ≤ -2 to have:


-3\leq x+7\leq-2

Subtract 7 from all the sides to have:


\begin{gathered} -3-7\leq x+7-7\leq-2-7 \\ -10\leq x\leq-9 \end{gathered}

Hence the solution to the system of inequalities is -10 ≤ x ≤ -9

X+7 less than or equal to -2 or x+7 greater than or equal to -3-example-1
User Utkal Patel
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