How do you solve $\frac{w + 3}{2} > 6$ $\frac { w + 3} { 2} > 6$ ?

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How do you solve $\frac{w + 3}{2} > 6$ $\frac { w + 3} { 2} > 6$ ?

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Answer 1 · 2016-10-20T23:27:32

The solution of the inequality is $w > 9$ $w > 9$ .

Explanation:

Use inverse operations to clear the division and then solve for $w$ $w$ .

$\frac{w + 3}{2} > 6$ $(w +3)/2 > 6$
$2 (\frac{w + 3}{2}) > 6 \cdot 2$ $2((w + 3)/2) > 6*2$
$w + 3 > 12$ $w + 3 > 12$
$w + 3 - 3 > 12 - 3$ $w + 3 - 3 > 12 - 3$
$w > 9$ $w > 9$

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How do you solve $\frac{w + 3}{2} > 6$ $\frac { w + 3} { 2} > 6$ ?

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