How do you solve the inequality #10-1/2w>12#?

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Answer 1 · 2018-07-24T19:08:20

#w < -4#

#10 - 1/2w > 12#

Add #1/2w# to both sides:
#10 - 1/2w quadcolor(blue)(+quad1/2w) > 12 quadcolor(blue)(+quad1/2w)#

#10> 12 + 1/2w#

Subtract #color(blue)12# from both sides:
#10 quadcolor(blue)(-quad12) > 12 + 1/2w quadcolor(blue)(-quad12)#

#-2 > 1/2w#

Multiply both sides by #color(blue)2#:
#-2 color(blue)(*2) > 1/2w color(blue)(*2)#

#-4 > w#

Therefore,
#w < -4#

Hope this helps!