tommh wrote:
Bunuel wrote:
What is the value of x?
(1) \(|x+5| = |x+3|\) --> square both sides: \((x+5)^2=(x+3)^2\) --> \(x^2+10 x+25 = x^2+6 x+9\) --> \(4x=-16\) --> \(x=-4\). Sufficient.
(2) \(|x+3| = 1\) --> x + 3 = 1 or x + 3 = -1. Hence, x = -2 or x = -4. Not sufficient.
Answer: A.
(1) \(|x+5| = |x+3|\) --> square both sides: \((x+5)^2=(x+3)^2\) --> \(x^2+10 x+25 = x^2+6 x+9\) --> \(4x=-16\) --> \(x=-4\). Sufficient.
(2) \(|x+3| = 1\) --> x + 3 = 1 or x + 3 = -1. Hence, x = -2 or x = -4. Not sufficient.
Answer: A.
Hi Bunuel,
I got the answer A but just by plugging in numbers. I looked at the problem and saw that in order for |x+5| = |x+3| the difference has to be 2. Therefore |-1| = |1|.
|x+5| = 1, x = -4 or -6
|x+3|
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