QC for absolute value

abs(x+3) = abs(y-2)

Quantity A Quantity B
x y

I feel this question us solvable with two equations where you get x -ve and y +ve hence B.
But ppl are suggesting D since it is a QC you have to test for equal not equal strategy.

Can any one help with this. Thanks.

divide the equation into 2

  • y-2 = abs(x+3) when y-2≥0 or y≥2. Draw the graph for this.
  • Similarly, 2-y = abs(x+3) when 2-y≥0 or y≤2. Draw the graph for this.

You’ll end up with something like this.


As you can see there’s all kinds of possibilities where x = y, x > y, and x < y

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