Question

A number x is greater than or equal to -37

Answer 1

Answer:

If we solve it without concerning least integer and great integer then we get value of x somewhere in interval (3,4)

and if x=(3,4) then [x]=3 and(x)=4

These values are not satisfying the equation so x has to be 4 at least. values of x has be 4 or greater. there is square on these term so we can also consider the negative values.

∣x∣≥4

⇒x=(−∞,−4]∪[4,+∞)