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Equations and Inequalities

Quick questions on Linear inequalities explained: N(A)-Level Mathematics Equations and Inequalities

6short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are the inequality symbols?
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Four symbols describe how two quantities compare:
What is solving an inequality?
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Solve an inequality using the same balance steps as an equation: add, subtract, multiply or divide both sides to get the unknown alone. The inequality symbol stays the same for these operations as long as you are not multiplying or dividing by a negative.
What is representing the solution on a number line?
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A number line shows the range of solutions clearly:
What are integer solutions?
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If a question asks for integer solutions, list the whole numbers in the range. For x≤5x \leq 5 with xx a positive integer, the solutions are 1,2,3,4,51, 2, 3, 4, 5.
What is wrong circle on the number line?
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Use a filled circle for ≤\leq or ≥\geq and an open circle for << or >>.
What is arrow in the wrong direction?
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x>3x > 3 points right (larger values); x<3x < 3 points left.

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