Algebra · Practice

Inequalities — Exercises

Graded practice problems from foundations to advanced. Enter your answer and press Check.

Foundations

Problem 1

Solve $3x + 2 > 8$ . Enter the boundary value of $x$ .

Problem 2

Solve $-2x \leq 10$ . Enter the boundary value.

Problem 3

Solve $2x - 3 \leq x + 4$ . Enter the boundary value.

Problem 4

Find the length of the solution set of $|x - 3| \leq 5$ .

Problem 5

Find the length of the solution set of $-3 < 2x + 1 < 9$ .

Problem 6

Solve $2x^2 - 5x - 3 > 0$ . Enter the positive boundary value.

Problem 7

Solve $\dfrac{x + 1}{x - 2} \geq 0$ . Enter the left boundary of the solution set.

Problem 8

If $x + y = 10$ with $x, y > 0$ , what is the maximum value of $xy$ ?

Problem 9

Find the length of the solution set of $x^2 < 4$ .

Problem 10

A regular polygon has each interior angle equal to $150°$ . How many sides does it have?