If x is a nonzero real number is x2 always positive always n

If x is a nonzero real number, is x^–2 always positive, always negative, or positive or negative depending on whether x is positive or negative? Explain your answer.

Solution

If x is a nonzero real number.

A nonzero number is any number that is not equal to zero. This includes both positive and negative numbers as well as fractions and irrational numbers.

for x-2 always positive

x-2 >0 => x > 2

for x-2 always negative

x-2 < 0 => x < 2