Question

Which of all the following inequalities is true for all real values of x?

Answer 1

Answer:

  C.  1/(x^2 +1) > 0

Step-by-step explanation:

The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.

1/x^2 is undefined for x=0, so cannot be compared to zero.

The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.

  1/(x^2 +1) > 0