Question

Solve the linear inequality. Express the solution using interval notation and graph the solution set.

$2x\le 7$

Short answer

The solution set is, $\left(-\infty ,\left.\frac{7}{2}\right]\right.$.

Graph for the solution set as follow.

Step-by-step solution

Step-1. Consider the given inequality.

The given inequality is,

$2x\le 7$

Step-2. Express the solution by interval notation.

We have to express the solution using interval notation by dividing 2 sides.

$\begin{array}{c}\frac{2x}{2}\le \frac{7}{2}\\ x\le \frac{7}{2}\end{array}$

Step-3. Write the obtained solution in interval notation.

So, the solution set is, $\left(-\infty ,\left.\frac{7}{2}\right]\right.$.

Graph for the solution set as follow.