How do you solve #\frac { x } { 2} + 9> 16#?

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Answer 1 · 2016-11-19T22:33:48

#x > 14#

To solve this problem isolate and solve for #x# always keeping the inequality balanced:

First, subtract 9 from each side of the inequality:

#x/2 + 9 - 9 > 16 - 9#

#x/2 + 0 > 7#

#x/2 > 7#

Next, multiply each side of the inequality by 2:

#2 x/2 > 7 * 2#

#2/2 x > 14#

#1x > 14#

#x > 14#