Linear Inequalities (Leaving Cert Mathematics): Flashcards

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Linear Inequalities
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What do inequalities show between two expressions?

One side is greater than or less than the other (not equal)

Inequalities vs equations: key difference

Show greater than/less than relationships, not equality

What to do when multiplying both sides of inequality by negative?

Flip the inequality sign

What to do when dividing both sides of inequality by negative?

Flip the inequality sign

General principle for solving inequalities

Same as solving equations (except flip sign when multiply/divide by negative)

What you get when solving inequality (vs single value)?

Solution set

Solution to 5x+3<165x + 3 < 16

x<135x < \frac{13}{5}

First step to solve 5x+3<165x + 3 < 16

Subtract 3 from both sides to get 5x<135x < 13

What does 'strictly less than' mean in x<135x < \frac{13}{5}?

Values must be less than but not equal to 135\frac{13}{5}

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