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# Solving Compound Inequalities

## Solving Compound Inequalities 1.10 - Solution

a

When an inequality is multiplied or divided by a negative number, the inequality symbol must be flipped. This has not been done in the last step. \begin{aligned} \text{-}4x < 8 \\ x < \text{-}2 \end{aligned} Ron-Jon divided both sides with $\text{-}4$ but he forgot to flip the sign.

b

Let's start from the beginning. Remember the rule for inequalities when multiplying or dividing by a negative.

$13x\lt 17x+8$
$\text{-}4x\lt 8$
$x\gt \text{-}2$
The inequality is, therefore, true if $x \gt \text{-}2.$ Ron-Jon's solutions should have been as follows.