Inequalities: Simultaneous Inequalities

If $$-10 \le x \le 4$$ and $$-6 \le y \le 11$$, which of the following inequalities give all possible values of $$xy$$?

Incorrect. [[snippet]] Make sure you multiply all the limits of the given inequalities to find the least and greatest possible values of $$xy$$.

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

Correct. [[snippet]] Multiply -10 and 11 to get minimum $$xy$$, and multiply -6 and -10 to get maximum $$xy$$. Bear in mind that the two minus signs cancel out. Hence, the minimum and maximum values of $$xy$$ are -110 and 60, respectively.

Incorrect. [[snippet]] You need to multiply all of the limits of the given inequalities to find the least and greatest possible values of $$xy$$.

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

$$-110 \le xy \le -24$$

$$-60 \le xy \le 44$$

$$-110 \le xy \le 60$$

$$-110 \le xy \le 44$$

$$-24 \le xy \le 60$$