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 12

A factory produces at least 500 units per day. If x represents the number of units produced, write an inequality to represent this situation.

Describe the difference between the solution sets of the inequalities x > 2 and x ≥ 2.

Explain the difference between a strict inequality and a non-strict inequality.

Explain the effect of multiplying both sides of an inequality by a negative number.

Explain why the solution to the inequality 0 < x < 5 is called a bounded interval.

If 3x + 2 ≤ 2x + 7, what is the least integer value of x?

If 4x - 5 ≤ 3x + 2, what is the greatest integer value of x?

Solve for x: 4 - 2x ≥ 10.

Solve for x: 5x + 3 < 2x - 9.

Solve the compound inequality: 2 < 3x - 1 ≤ 8.

Solve the double inequality: -2 ≤ 3x + 1 < 7.

Solve the inequality 3x - 7 < 2x + 5.

Solve the inequality: -4x + 6 ≤ 2.

Solve the inequality: 7 - 2x > 1.