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# Inequalities: Overview

If $$-22 < 13 - 5q < 8$$, what is the minimum possible integer value of $$q$$?
Correct. [[Snippet]] First, isolate the variable as in one-variable linear equations. In this case, subtract $$13$$ from each part of the inequality. >$$-22-13 < 13 - 5q-13 < 8-13$$ >$$-35 < -5q < -5$$ Divide each part of the inequality by $$-5$$ and flip the signs of the inequalities. >$$\displaystyle \frac{-35}{-5} > \frac{-5q}{-5} > \frac{-5}{-5}$$ >$$7 > q > 1$$ The minimum integer value of $$q$$ is $$2$$ because $$q$$ must be greater than $$1$$. Hence, this is the correct answer.
Incorrect. [[snippet]] Carefully check your calculations.
Incorrect. [[snippet]] Carefully check your work. Note that the inequality symbols are strict inequality symbols, not ≤ or ≥.
Incorrect. [[snippet]] You might have gotten this answer if you found the maximum possible integer value of $$q$$.
Incorrect. [[snippet]] Carefully check your answer. Make sure you find the minimum possible integer value of $$q$$.
$$7$$
$$6$$
$$2$$
$$1$$
$$-1$$