SOLUTION: I need to categorise these into always, sometimes and never and state why. I figured out most of them an I'm stuck with the why part for these: q+2=q+16 2t-3=3-2t |x| is greater

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: I need to categorise these into always, sometimes and never and state why. I figured out most of them an I'm stuck with the why part for these: q+2=q+16 2t-3=3-2t |x| is greater      Log On


   



Question 879926: I need to categorise these into always, sometimes and never and state why. I figured out most of them an I'm stuck with the why part for these:
q+2=q+16
2t-3=3-2t
|x| is greater than or equal to 0
|x| is greater than or equal to x

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
q%2B2=q%2B16
Subtract q from both sides.
2=16
Never
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2t-3=3-2t
4t=6
t=3%2F2
So the original statement is true when t=3/2, so sometimes.
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.
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abs%28x%29%3E=0
Always true because that's how absolute value function is defined.
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abs%28x%29%3E=x
True, when x%3E=0, because then x=x.
True, when x%3C0, because x%3E-x, or dividing both sides by x, 0%3E-1
So this is true always.