Type any inequality — linear, quadratic, with fractions, absolute values, square roots, powers, logarithms or sines — or a whole system. The answer comes as an interval and on a number line, with the working written the way the book writes it: the conditions, the table of signs, every step.
Linear, quadratic, polynomial and fraction inequalities all end the same way: everything on one side, one fraction, factorised, and the answer read off a table of signs. The steps before that follow the book for each type — dividing by a negative reverses the sign, Δ and the sign of a for a quadratic.
A denominator cannot be 0, a logarithm needs a positive number inside, a square root needs one that is not negative. These are found before anything else and the answer is kept inside them. In the table of signs a forbidden value is marked ‖.
|u| < v becomes −v < u < v; √u < v becomes u ≥ 0, v > 0 and u < v²; aᵘ < aᵛ becomes u < v, or u > v when the base is between 0 and 1; 4ˣ − 3·2ˣ + 2 < 0 becomes a quadratic in t = 2ˣ. Each reduction is a step you can open, and the pieces are solved the same way.
Answers are exact — 3/4, 1 + √3, 5π/6, log₂5. When there is no textbook method, as for 2ˣ > x², the sign changes are located numerically and the answer is marked as numerical. Everything runs in your browser; the address bar keeps the inequality, so a link shows a classmate the same working.
Tool created by
Our tutors take Grade 12 students through inequalities, functions, logarithms and the rest of the national examination, step by step, at home or online.