Linear Inequalities
Math ⇒ Algebra
Linear Inequalities starts at 7 and continues till grade 12.
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See sample questions for grade 10
If 2x + 7 ≥ 15, what is the solution set for x?
If -2x > 6, what is the solution for x?
If 3x - 2 < 4x + 5, what is the solution for x?
If 3x + 2 ≤ 2x + 7, what is the solution for x?
If 4x + 1 < 3x + 6, what is the solution for x?
If 4x + 7 < 3x + 2, what is the solution for x?
If 5x + 3 < 18, what is the largest integer value of x that satisfies the inequality?
If x > 2 and x < 7, what is the solution set for x?
Which of the following inequalities has no solution?
(1) x + 2 > x + 5
(2) 2x - 3 < 7
(3) 3x ≥ 3x
(4) x - 1 ≤ x + 2
Which of the following is a correct statement about linear inequalities?
(1) They always have exactly one solution.
(2) They can have infinitely many solutions.
(3) They never have a solution.
(4) They always have two solutions.
Which of the following is a linear inequality in one variable?
(1) 2x + 3 > 7
(2) x² + 2x < 5
(3) 3y - 4 = 10
(4) 5x + 2y > 8
Which of the following is a linear inequality in two variables?
(1) x + y = 5
(2) 2x - y < 7
(3) x² + y² > 9
(4) 3x = 2y
Fill in the blank: If 7x - 2 > 12, then x > _______.
Fill in the blank: The solution to the inequality 2x + 3 ≤ 11 is x ≤ _______.
Fill in the blank: The solution to the inequality -3x ≥ 9 is x ≤ _______.
Fill in the blank: The solution to the inequality 5x ≤ 20 is x ≤ _______.
True or False: The solution set of x ≥ 0 is all positive real numbers including zero.
True or False: The solution to the inequality 0 > x is x < 0.
True or False: The solution to the inequality 2x + 3 > 2x + 3 is all real numbers.
True or False: The solution to the inequality 2x + 5 < 2x + 3 is x < -1.
