Linear Inequalities

Math ⇒ Algebra

Linear Inequalities starts at 7 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Linear 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 8

Describe the difference between an equation and an inequality.

Explain why the solution to the inequality -x > 4 is x < -4.

If 2x + 3 > 11, what is the solution for x?

If 3x - 4 ≤ 8, what is the solution for x?

If 4x > 20, what is the smallest integer value of x that satisfies the inequality?

If 5x + 2 < 17, what is the largest integer value of x that satisfies the inequality?

If you multiply both sides of an inequality by a negative number, what happens to the inequality sign?

Solve for x: 2(x - 3) ≤ 8.

Solve for y: 2y + 3 < 11.

Solve for y: 3y - 2 ≤ 10.

Solve the inequality: x + 5 > 12.

Solve: 4x - 7 ≥ 9.

Solve: -4x + 2 > 10.

Solve: 5 - 3x ≥ 2.

Solve: 7 - 2x < 1.

Solve: 9 - x ≤ 4.

What is the meaning of the symbol '≤' in linear inequalities?

A number is decreased by 5 and the result is less than twice the number. Write an inequality to represent this situation and solve for the number.

A store offers a discount of $2 on every item. If the original price of an item is p dollars, and you have $15, for which values of p can you afford the item after the discount? Write and solve the inequality.

Explain why the solution to the inequality 2(x + 3) < 4x - 5 requires moving all terms involving x to one side before solving.