How do you solve #38.25> - 2q + 29.5#?

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Answer 1 · 2018-07-22T23:49:56

#q > -4.375#

#38.25 > -2q + 29.5#

Add #color(blue)(2q)# to both sides:
#38.25 quadcolor(blue)(+quad2q) > -2q + 29.5 quadcolor(blue)(+quad2q)#

#38.25 + 2q > 29.5#

Subtract #color(blue)(38.25)# from both sides:
#38.25 + 2q quadcolor(blue)(-quad38.25) > 29.5 quadcolor(blue)(-quad38.25)#

#2q > -8.75#

Divide both sides by #color(blue)2#:
#(2q)/color(blue)2 > (-8.75)/color(blue)2#

Therefore,
#q > -4.375#

Hope this helps!