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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