Question

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

$2x-5>3$

Short answer

The solution of the inequality is the interval $\left(4,\infty \right)$and it is graphed as below.

Step-by-step solution

Step-1. Consider the given inequality.

The given inequality is,

$2x-5>3$

Step-2. Add both sides and then simplify.

We have to express the solution using interval notation.

$\begin{array}{c}2x-5+5>3+5\\ 2x>8\end{array}$

$\frac{2x}{2}>\frac{8}{2}$ (Divide both sides).

$x>4$

Step-3. Write the obtained solution in interval notation and graphed it.

The solution set consists of all members greater than. In other words, the solution of the inequality is the interval $\left(4,\infty \right)$and the graph is,