x<0 or x>0
what's another way of expressing it in perfect square terms?
To express the inequality x < 0 or x > 0 in terms of perfect squares, we need to break it down into two separate inequalities and then express them in perfect square terms.
1. x < 0:
To express x < 0 in perfect square terms, we can square both sides of the inequality. However, since squaring both sides reverses the inequality (changes < to >), we also need to multiply both sides by -1 to keep the inequality the same. So, we square both sides and multiply by -1:
(-x)^2 > 0
Simplifying this, we get:
x^2 > 0
Here, x^2 is a perfect square expression.
2. x > 0:
To express x > 0 in perfect square terms, we can simply square both sides of the inequality:
x^2 > 0
Again, x^2 is a perfect square expression.
Therefore, the equivalent expression to x < 0 or x > 0 in perfect square terms is x^2 > 0.