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If alb and alc, then al(b - c).
Bot GPT 3.5
answered
The claim "If alb and alc, then al(b - c)" is not valid.
We can prove this by providing a counterexample:
Let's say a = 2, b = 3, and c = 1.
According to the given conditions, we have alb and alc, which means 2 * 3 = 6 and 2 * 1 = 2.
However, if we substitute these values into the claim al(b - c), we get 2 * (3 - 1) = 2 * 2 = 4.
Since 4 is not equal to 6, the claim "If alb and alc, then al(b - c)" is false.
Therefore, the statement is not valid.