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Answer 1 · 2017-07-15T13:06:44

the element #-12# is in the solution of the given inequality

We will verify the inequality for each term by substituting it in x, then

#color(red)(x=18)->2/cancel3*cancel18^6+3<-2*18-7->15<-43# is not true

#color(red)(x=6)->2/cancel3*cancel6^2+3<-2*6-7->7<-19# is not true

#color(red)(x=-3)->2/cancel3*cancel(-3)^(-1)+3<-2*(-3)-7->1<-1# is not true

#color(red)(x=-12)->2/cancel3*cancel(-12)^(-4)+3<-2*(-12)-7->-5<17# is true,

Then the element #-12# is in the solution of the given inequality.

On the other hand, if we solve the inequality, we will get:

#x<-15/4#

All the elements in A except #-12# are not in the solution