Question

Question #53d1f

Answer 1

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

Explanation:

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