Question #d9690

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Answer 1 · 2017-12-17T08:13:45

$(-7, 73/9)$

We have the inequality

$|9n-5| < 68$

We will clear the absolute value first and solve our problem as linear inequality

$-68<9n-5<68$

Add $5$ to all the parts of our inequality

$-68+5 <9ncancel(-5)cancel(+5)<68+5$

We get

$-63<9n<73$

Next we will divide each part by 9

$-63/9< cancel 9n/cancel 9<73/9$

We get

$-7< n<73/9$

Hence we can write our solution as

$(-7, 73/9)$

Graph:

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