Which of the following must be true ?
a) A linear equation in one variable always gives a unique value of x.
b) A quadratic equation in one variable always gives two unique value of x.
c) (Even)^n is always even, where n is an integer.
d) (Odd)^n can never be even, where n is an integer.
e) |x| is always positive
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Solution:k_rohit wrote: ↑Sun Jun 28, 2020 10:26 pmWhich of the following must be true ?
a) A linear equation in one variable always gives a unique value of x.
b) A quadratic equation in one variable always gives two unique value of x.
c) (Even)^n is always even, where n is an integer.
d) (Odd)^n can never be even, where n is an integer.
e) |x| is always positive
Choice D is correct since for any other answer choices, you can find at least one counterexample to show the statements in those choices is not correct. Here is a counterexample for each of the answer choices other than D.
A) x = x + 1
B) x^2 = 0
C) 2^0
E) |0|
Answer: D
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