Algebra · Inequalities
Chapter 1 · 3
The idea
Linear inequalities
Why inequalities solve like equations except for one rule — flipping on a negative multiplier — why the answer is a RANGE not a number, and how double inequalities and integer lists work.
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Algebra · Inequalities
Linear inequalities
Why inequalities solve like equations except for one rule — flipping on a negative multiplier — why the answer is a RANGE not a number, and how double inequalities and integer lists work.
Why it works
A statement about a range
An inequality is a statement about a range: asks which values of keep the left side below 17. Solve it with the same balance moves as an equation — add, subtract, multiply, divide both sides — and the answer comes out as a range too:The answer IS "" — every number below 5. Writing "" answers a different question; the inequality symbol must survive to the final line.
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The rest of the explanation, plus 2 worked examples you step through move by move.
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