Question

solve the inequality and graph the solution.
2x + 7 ≤ 5
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Subtract 7 from both sides

$$2x+7 - 7\leq5 - 7$$
$$2x\leq - 2$$

Step2: Divide both sides by 2

$$\frac{2x}{2}\leq\frac{-2}{2}$$
$$x\leq - 1$$

Answer:

The solution of the inequality \(2x + 7\leq5\) is \(x\leq - 1\). On the number - line, we plot a closed circle at \(-1\) (because the inequality includes equality, i.e., \(\leq\)) and draw an arrow to the left.