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 11

Context: A company requires that the number of hours worked per week, h, must be at least 35 but no more than 45. Write the inequality that represents this situation.

Explain why multiplying both sides of an inequality by a negative number reverses the inequality sign.

If -2x + 7 ≤ 1, what is the greatest integer value of x?

If a linear inequality has no solution, what does this mean?

Solve for x: 2(x - 1) ≤ 8.

Solve for x: -5x + 10 > 0.

Solve for x: 5x + 3 > 2x - 6.

Solve for x: 7 - 2x < 1.

Solve the compound inequality: 2 < x + 1 ≤ 5.

Solve the inequality: 2x - 7 ≥ 3x + 1.

Solve the inequality: 3x + 2 ≥ 11.