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 7

If 2x - 3 ≥ 7, what is the smallest integer value of x that satisfies the inequality?

If 2x + 3 ≤ 11, what is the greatest integer value of x?

If 3x - 2 ≥ 7, what is the smallest integer value of x?

If 4x - 5 ≤ 11, what is the solution for x?

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

If x + 7 ≥ 10, what is the least integer value of x?

Solve for m: 9 - m > 2.

If a student has at least 15 pencils, which inequality represents the number of pencils (p) the student has? (1) p < 15 (2) p > 15 (3) p ≥ 15 (4) p ≤ 15

Which of the following inequalities is equivalent to x > 3? (1) 3 < x (2) x ≥ 3 (3) x < 3 (4) x = 3

Which of the following is a correct way to write 'x is at most 10'? (1) x < 10 (2) x > 10 (3) x ≤ 10 (4) x ≥ 10

Which of the following is a linear inequality in one variable? (1) x + y < 5 (2) 2x - 3 > 7 (3) x² < 9 (4) x/y > 2

Fill in the blank: The inequality 3x + 2 > 11 is satisfied when x > ________.

Fill in the blank: The inequality 5 - y < 2 is satisfied when y > ________.

Fill in the blank: The inequality 8 - 2x ≥ 0 is satisfied when x ≤ ________.

Fill in the blank: The solution to the inequality 2y + 5 < 11 is y < ________.

True or False: If you multiply both sides of an inequality by a negative number, the direction of the inequality sign changes.

True or False: The inequality 2x < 2x + 1 has infinitely many solutions.

True or False: The inequality x - 4 > 0 is satisfied by x = 5.

True or False: The inequality x + 2 < x + 5 has no solution.