|
Question 931025: For each question below state whether the statement is always true (no matter what x is), sometimes true (depending on what the value of x is), or never true.please help me solve this.
x > -x
|x|> x
x^2 <0
x^2> x
x^-3=1/x^3
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! You should use consistent capitalization (e.g. X vs. x) - after all, X could denote different variables. I have changed all X's to x.
x > -x: Sometimes true (true if x is positive, false if x is negative or zero)
|x| > x: Sometimes true (true if x is negative, false otherwise)
x^2 < 0: Never true, unless we allow complex numbers (e.g. x = i --> x^2 = -1).
x^2 > x: Sometimes true (e.g. consider x = 10, x = 0.1)
x^(-3) = 1/x^3: Always true, by definition (unless x = 0, then both sides are undefined)
|
|
|
| |
