Question

Solve the following inequality, then graph the solution set. x ≥ 2Answer in interval notation.

Answer 1

Solution

- The solution of the inequality is given by:

$\begin{gathered} |x|\ge2 \\ \text{ Based on the rule, we have:} \\ \\ |x|\ge a:\text{ }-a\le x\text{ or }x\ge a \\ |x|\le a:\text{ }-a\le x\le a \\ \\ \text{ Thus, we can apply the rule as follows:} \\ x\le-2\text{ or }x\ge2 \end{gathered}$

- Thus, we can plot the graph as:

The interval notation is

$\begin{gathered} \\ (-\infty,-2]\cup[2,\infty) \end{gathered}$