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 12

Describe the feasible region for the system: x + y ≤ 5, x ≥ 0, y ≥ 0.

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

Explain the difference between a system of equations and a system of inequalities.

Explain why the boundary line is included in the solution set for the inequality y ≤ 2x + 5.

Explain why the system x ≥ 0, y ≥ 0, x + y ≤ 10 is often used in linear programming problems.

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

Given the system: x + 2y ≥ 6, x - y ≤ 3, y > 0, find the coordinates of the intersection point of the boundary lines x + 2y = 6 and x - y = 3.

Given the system: x + y > 3, x - y < 1, find a point that satisfies both inequalities.

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

If the system of inequalities x > 1 and y < 2 is graphed, which quadrant(s) contain the solution region?

Solve for all integer solutions to the system: x > 2, y < 5, x + y = 7.

Solve the following system of inequalities and describe the solution set: 2x + 3y < 12, x ≥ 0, y ≥ 0.