Inequalities: Overview
Given that $$x + 9 > 4$$ and $$x - 6 < 5$$, all values of $$x$$ must be between which of the following pairs of integers?
Correct.
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Isolate $$x$$ in both inequalities. For $$x + 9 > 4$$, subtract $$9$$ to isolate $$x$$.
>$$x + 9 - 9 > 4 - 9$$
>$$x > -5$$
For $$x - 6 < 5$$, add $$6$$ to isolate $$x$$.
>$$x - 6 + 6 < 5 + 6$$
>$$x < 11$$
Based on this, $$x$$ must be greater than $$-5$$ and less than $$11$$.
>$$-5 < x < 11$$
Hence, this is the correct answer.
Incorrect.
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Make sure you solve both inequalities for $$x$$.
Incorrect.
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Carefully check your calculations.
Incorrect.
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You might have gotten this answer if you made a sign error during your calculations.
Incorrect.
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Carefully check your work.
$$6$$ and $$9$$
$$-5$$ and $$11$$
$$-11$$ and $$5$$
$$-1$$ and $$13$$
$$4$$ and $$9$$
