Solve the inequality $-4(x + 4) > x + 7 + 6x + 14.$ Give your answer as an interval.

1 answer

Simplifying both sides, we have $-4x - 16 > 7x + 21.$ Adding $4x$ to both sides, we get
\[16 > 11x + 21.\]Then $-5 > 11x,$ so $x < -\frac{5}{11}.$

Hence, the solution is $\boxed{\left( -\infty, -\frac{5}{11} \right)}.$