Why can't we take |y| >= -4x as y>= -4x and y<= 4x?

[user1644]

15. If |y| ≤ –4x and |3x – 4| = 2x + 6, what is the value of x?
    (A) –3
    (B) -1/3
    (C) -2/5
    (D) 1/3
    (E) 1

[Leaderboard]

Try sketching the graphs on Desmos.