Solve $LaTeX: \displaystyle - 6 x - 2 < 20$ . Write the solution in interval notation.

Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle - 6 x<22$ . Dividing off the $LaTeX: \displaystyle x$ coefficient and reversing the inequality symbol because its negative gives $LaTeX: \displaystyle x>- \frac{11}{3}$ . The solution is $LaTeX: \displaystyle \left(- \frac{11}{3}, \infty\right)$