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70% (01:28) correct
30%
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based on 119
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If (x-3)(x+2) = 0, then what is the value of x?
(1) (x+3)(x-2) ≠ 0
(2) (2x+4)(2x+6) ≠ 0
(1) (x+3)(x-2) ≠ 0
(2) (2x+4)(2x+6) ≠ 0
24 Feb 2020, 13:20
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The stem gives us: is x=3 v x=-2?
Statement 1 gives us: if x=-3 v x=2 then the equation is not equal to zero. This statement adds no value to what we have to find out.
Statement 2 gives us: if x=-2 v x=-3 then the equation is not equal to zero. Because we had two possibilities in our stem: x=3 v x=-2, we can now cross out x=-2 because statement 2 tells us that the equation will not be equal to zero if x=-2.
The answer is B, with statement 2 alone we can state with certainty that x=3.
Statement 1 gives us: if x=-3 v x=2 then the equation is not equal to zero. This statement adds no value to what we have to find out.
Statement 2 gives us: if x=-2 v x=-3 then the equation is not equal to zero. Because we had two possibilities in our stem: x=3 v x=-2, we can now cross out x=-2 because statement 2 tells us that the equation will not be equal to zero if x=-2.
The answer is B, with statement 2 alone we can state with certainty that x=3.
