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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. [[Snippet]] 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. [[snippet]] Make sure you solve both inequalities for $$x$$.

Incorrect. [[snippet]] Carefully check your calculations.

Incorrect. [[snippet]] You might have gotten this answer if you made a sign error during your calculations.

Incorrect. [[snippet]] Carefully check your work.

$$6$$ and $$9$$

$$-5$$ and $$11$$

$$-11$$ and $$5$$

$$-1$$ and $$13$$

$$4$$ and $$9$$