Compound Inequality Calculator (Free, Step-by-Step)
Use this free compound inequality calculator to solve a three-part inequality like a < bx + c ≤ d for x. It gives the solution in interval notation with a number-line graph and steps.
How to use it
- Enter the lower bound, the expression bx + c, and the upper bound.
- Pick each inequality sign.
- Press Solve.
Watch the sign
Dividing all three parts by a negative b flips both inequality signs — the calculator handles this automatically.
Original price was: $109.99.$54.99Current price is: $54.99.
Related: the Inequality Calculator and more free math calculators.
Frequently asked questions
What is a compound inequality?
Two inequalities joined together, like −1 < 2x + 3 ≤ 11, solved for x at once.
Original price was: $109.99.$54.99Current price is: $54.99.
What happens when b is negative?
Dividing by a negative number flips both inequality signs; the tool does this for you.
Original price was: $109.99.$54.99Current price is: $54.99.
Is the answer in interval notation?
Yes, with a number-line graph.
Original price was: $27.99.$17.99Current price is: $17.99.
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