How do you solve #1<(a-8)/9#?

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Answer 1 · 2016-11-14T23:39:15

#a > 17#

Step 1) Multiple each side of the inequality by #9# to eliminate the fraction:

#9 xx 1 < 9 xx (a - 8)/9#

#9 xx 1 < (9/9) xx (a - 8)#

#9 < 1 xx (a - 8)#

#9 < a - 8#

Step 2) Solve for #a# while keeping both sides of the inequality balanced:

#9 + 8 < a - 8 + 8#

#17 < a - 0#

#17 < a#

Step 3) Reverse the inequality to put in terms of #a#

#a > 17#