יוויון: \( 6-4(1-2 x)-4 x-11<7-4(1-2 x) \)

Let's solve the inequality step by step. First, distribute and simplify both sides: \[ 6 - 4(1 - 2x) - 4x - 11 < 7 - 4(1 - 2x) \] Distributing -4 on both sides gives: \[ 6 - 4 + 8x - 4x - 11 < 7 - 4 + 8x \] Simplifying both sides: \[ -9 + 4x < 3 + 8x \] Now, let's isolate \( x \): \[ -9 < 3 + 4x \] Subtracting 3 from both sides: \[ -12 < 4x \] Dividing by 4 gives: \[ -3 < x \quad \text{or} \quad x > -3 \] Thus, the solution to the inequality is: \[ x > -3 \]