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inequalities

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1 Answer

You solve inequalities in much the same way as you solve equations. The major difference is that when you multiply or divide both sides by a negative number, you must flip the inequality.

Here is an example.

Strict inequality (< or >):

5 - 2x < x - 1

-2x < x - 6 ← Subtraction of 5 from both sides.

-3x < -6 ← Subtraction of x from both sides.

x > 2 ← Division of both sides by -3. Inequality is flipped because -3 is negative.

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Weak inequality (≤ or ≥):

5 - 2x ≤ x - 1

-2x ≤ x - 6 ← Subtraction of 5 from both sides.

-3x ≤ -6 ← Subtraction of x from both sides.

x ≥ 2 ← Division of both sides by -3. Inequality is flipped because -3 is negative.

I hope this helps.