Inequalities practice
Translate between an inequality and a number-line graph in twenty questions. Choose whole numbers, signed integers or halves; draw graphs, read graphs or mix both tasks, with a separate key.
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For a given inequality, draw its solution on the number line. For a given graph, write an equivalent inequality. Decide whether the boundary belongs to the solution before drawing the endpoint.
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Choose twenty given inequalities to graph, twenty graphs to read, or a balanced mixed set with ten of each. Whole-number practice uses a nonnegative unit scale; integer practice includes signed values; halves use half-unit ticks and decimal notation.
The comparison checkboxes select symbols in the original question. A negative variable, a negative coefficient or the variable appearing on the right can mean that the solved inequality uses the opposite direction. Always normalize the relationship before choosing the ray.
Learning objective
Represent a solution set using the correct boundary, endpoint inclusion and ray direction.
Worked example
x ≥ −2.5: a filled endpoint at −2.5 and a ray to the right.
Divide both sides by −1 and reverse the comparison. The value −2.5 is included because equality is allowed. Values to its right, such as 0, make the original inequality true.
Teaching notes
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Relationships select the literal operator printed in each prompt. Solving a negated variable can reverse the normalized answer. Mixed mode interleaves exactly ten graph and ten write tasks.
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