-4|2x+1|>-7

-4(2x+1)>-7 -8x-4>-7 -8x>-3|/(-8) x>0,375

|2x+1|< ⁷/₄ 2x+1 < ⁷/₄ ∨ 2x+1 > -⁷/₄ 2x < ¾ ∨ 2x > -11/4 x< ⅜ ∨ x> -11/8 x ∈ (-11/8, ⅜)

-4|2x+1|>-7 -8x-4>-7 -8x>-7+4 -8x>-3 / (-8) x>⅜