Solve LaTeX:  \displaystyle 5 x - 9 \geq -2 . Write the solution in interval notation.

Isolating LaTeX:  \displaystyle x gives LaTeX:  \displaystyle 5 x\geq7 . Dividing off the LaTeX:  \displaystyle x coefficient gives LaTeX:  \displaystyle x\geq0 . The solution is LaTeX:  \displaystyle \left[\frac{7}{5}, \infty\right)