SOLUTION: The inequality y - x < square root of x^2 is satisfied if and only if (A) y < 0 or y < 2x (or both inequalities hold) (B) y > 0 or y < 2x (or both inequalities hold) (C) y2

SOLUTION: The inequality y - x < square root of x^2 is satisfied if and only if (A) y < 0 or y < 2x (or both inequalities hold) (B) y > 0 or y < 2x (or both inequalities hold) (C) y2 < 2

Question 1064765: The inequality y - x < square root of x^2 is satisfied if and only if
(A) y < 0 or y < 2x (or both inequalities hold)
(B) y > 0 or y < 2x (or both inequalities hold)
(C) y2 < 2xy
(D) y< 0
(E) x > 0 and y < 2x
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

( sqrt(a) >= 0, by DEFINITION of sqrt() )

1. if x<0 then the right hand side will be 0
2. If x>= 0 then the inequality holds as long as y < 2x
Based on 1 & 2, A is the only correct answer.
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