Inequalities with Absolute Value

Math ⇒ Algebra

Inequalities with Absolute Value starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Inequalities with Absolute Value. 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 9

A temperature sensor records the difference between the current temperature and 25°C as |T - 25| ≤ 3. What is the possible range of temperatures T?

Explain the general method for solving inequalities involving absolute value.

If |2x - 4| < 6, what is the solution set for x?

If |x - 2| ≤ 0, what is the value of x?

If |x + 2| > 5, what is the solution set for x?

If |x| < a, where a > 0, what is the solution set for x?

If |x| > a, where a > 0, what is the solution set for x?

Solve for x: |2x - 3| ≤ 5.

Solve for x: |3x| ≥ 9.

Solve for x: |x - 5| > 2.

Solve for x: |x/2| < 3.

Solve the inequality |2x + 1| ≤ 9.

Solve the inequality |x - 4| ≤ 10.

Solve the inequality |x - 8| > 3.

Solve the inequality |x + 1| ≥ 3.

Solve the inequality |x/3| ≥ 2.

Solve the inequality |x| < 5.