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 10

Describe the difference between the solution set of a system of equations and a system of inequalities.

Describe the steps to solve a system of two linear inequalities in two variables.

Explain why the point (0,0) is not a solution to the system: x > 0 and y > 0.

Given the system: 2x + 3y ≤ 12 and x ≥ 0, y ≥ 0, what is the maximum value of x if y = 0?

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

Given the system: y < x + 2 and y > -x + 1, describe the region that represents the solution set.

Given the system: y > 2x - 1 and y < 4x + 3, find a point that is a solution.

If a point (a, b) satisfies both inequalities in a system, what is it called?

If the system is x + y < 5 and x + y > 7, what is the solution set?

If the system is y ≥ 2x - 3 and y ≤ 2x + 1, what is the solution set?

Solve the system: x > 1 and x < 4. What is the solution set?

A system of inequalities is given by: y > 2x - 5 and y < -x + 4. What is the area of the region bounded by these two lines and the y-axis?

Consider the system of inequalities: 3x - 2y ≤ 6 and x + y ≥ 4. Determine all integer solutions (x, y) where both x and y are between 0 and 5, inclusive.

Explain how you would determine if a system of inequalities has a bounded or unbounded solution region.

Given the system: x - 2y ≥ 4 and 2x + y ≤ 10, find the coordinates of the intersection point of the boundary lines.