Linear Inequality Solver
Solve linear inequalities in x like 3x − 5 < 7 or 2(x + 1) ≥ x − 4, flipping the sign correctly, with the answer in inequality and interval notation.
How to use
- 1Type the inequality using <, >, <= or >=.
- 2Read the solution and its interval notation.
How it's calculated
Rearranged to kx + m (sign) 0. Dividing by a negative k flips the inequality sign.
Frequently asked questions
Why does the sign flip?
Multiplying or dividing both sides by a negative number reverses the order: if −2x < 6 then x > −3.
What's interval notation?
A compact way to write solution sets: x > 4 is (4, ∞); x ≤ 2 is (−∞, 2]. Brackets mean the endpoint is included.
Can it solve quadratic inequalities?
Not yet — only linear ones in x.