1.5 - Solve Linear Inequalities Lesson

4 Slides • 4 Questions

1

1.5 - Solve Linear Inequalities

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If you can solve equations, you already know 95% of what you need to know to solve inequalities.

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The properties of equality are true for inequalities, with one main difference

If you multiply both sides of the inequality by the same negative number, you must reverse the inequality symbol
If you divide both sides of the inequality by the same negative number, you must reverse the inequality symbol

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Example:

$9x+4<12x-11$
$-12x\ \ \ \ \ \ \ -12x$
$-3x+4<-11$
$\ \ \ \ \ \ \ \ \ -4\ \ \ \ \ \ -4$
$-3x<-15$
$\frac{-3x}{-3}\ \ >\frac{-15}{-3}$
$\ \ \ \ \ x\ >5\$

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Multiple Choice

Solve

x+8\ge4x+17

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$-3\ge x$

2

$-3\le x$

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$3\ge x$

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$3\le x$

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Multiple Choice

The solution to which inequality is represented by this graph?

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$5x+3<3x+9$

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$\frac{x}{4}\ge12$

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$5x+3>3x+9$

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$3x<-9$

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Open Ended

Solve the inequality:

-3x+8\le14

Type response here

8

Open Ended

Write a two-step inequality that has a solution of

x<4

Type response here

1.5 - Solve Linear Inequalities

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