6. Linear Systems and Modeling

Inequality Systems — Quiz

Test your understanding of inequality systems with 5 practice questions.

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Practice Questions

Question 1

Which of the following points is a solution to the system of inequalities: $y \ge x + 3$ and $y < -x + 1$?

Question 2

When graphing the inequality $y \le -3x + 2$, what type of line should be used and which region should be shaded?

Question 3

Which system of inequalities represents the scenario: 'The cost of a shirt ($x$) is at most $20, and the cost of a pair of pants ($y$) is at least 30'?

Question 4

In the context of a system of linear inequalities, what does a 'feasible region' represent?

Question 5

Consider the system of inequalities: $x \ge 0$, $y \ge 0$, and $2x + y \le 6$. Which of the following points lies within the feasible region?