Question

consider the following inequality.
-3 - 5x > -2 - 6x
solve the inequality for x.
graph the solution.

Explanation:

Step1: Add \(6x\) to both sides

$$\begin{align*} -3 - 5x+6x&>-2-6x + 6x\\ -3+x&>-2 \end{align*}$$

Step2: Add \(3\) to both sides

$$\begin{align*} -3+x+3&>-2 + 3\\ x&>1 \end{align*}$$

Answer:

The solution of the inequality is \(x>1\). On the number - line, we have an open circle at \(x = 1\) (because \(x = 1\) is not included in the solution) and the arrow points to the right (towards larger values of \(x\)).