How do you solve #16- \frac { 1} { 4} u > 7#?

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Answer 1 · 2018-05-28T05:23:20

#u <36#

Multiply by #4# both sides and then simplify further.

#16-1/4u > 7#

#(4 xx 16) - (1/4u xx 4) > 7 xx 4#

#64 - u > 28#

#-u > 28-64#

#-u > -36#

Multiply by #-1# both sides and inequality sign changes from > to <

#u <36#

Check the answer:

Take #u = 32#.

#16-1/4(32) > 7#

#16 - 8 > 7#

#8 > 7#