Systems of Inequalities

Math ⇒ Algebra

Systems of Inequalities starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Systems of Inequalities. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 11

Describe how to test if a point is a solution to a system of inequalities.

Describe the steps to graph the solution set of a system of two linear inequalities in two variables.

Explain the difference between the solution set of a single linear inequality and a system of linear inequalities.

Explain why the system x + y ≥ 2 and x + y ≤ 2 has a solution set that is a line.

Given the system: x + 2y ≤ 8 and x ≥ 0, y ≥ 0, what is the maximum value of y if x is 0?

Given the system: x ≥ 1, y ≤ 3, and x + y ≤ 5, what is the minimum value of x + y?

Given the system: y < x + 2 and y > -x + 1, what is the shape of the solution region?

If a system of inequalities has infinitely many solutions, what does this mean about the graphs of the inequalities?

If a system of inequalities is graphed and the shaded regions do not overlap, what does this indicate about the system?

If the system of inequalities is x < 0 and y < 0, which quadrant contains the solution set?

If the system x > 2 and x < 5 is graphed on a number line, what is the solution interval?

Solve the system of inequalities: 2x + y ≤ 4 and x - y ≥ 1. Write the solution as an inequality for y in terms of x.