tmua 2019 Q3

tmua · Uk · paper2 1 marks Proof True/False Justification
$a , b$ and $c$ are real numbers.
Given that $a b = a c$, which of the following statements must be true?
I $\quad a = 0$
II $b = 0$ or $c = 0$
III $b = c$
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$a , b$ and $c$ are real numbers.

Given that $a b = a c$, which of the following statements must be true?

I $\quad a = 0$

II $b = 0$ or $c = 0$

III $b = c$