Question

For the following inequality, write the solution set in set-builder and interval notation, and graph the solution seton a number line.X_>2Set-builder notation: xInterval notation:

Answer 1

Answer:
`\begin{gathered} a)\text{ }\lbrace x\text{ \mid x }\ge\text{ 2\textbraceright} \\ b)\text{ \lbrack2, }\infty) \end{gathered}`

See graph below

Step-by-step explanation:

Given:

`x\text{ \ge 2}`

To find:

to write in set builder notation, interval notation and graph the inequality

a) In set-builder notation:

`\begin{gathered} \lbrace x\in\Re\text{ \mid x }\ge\text{ 2\textbraceright} \\ \lbrace x\text{\mid x }\ge\text{ 2\textbraceright} \end{gathered}`

b) Interval notation:

c) Graphing the inequality on a number line:

The circle is shaded because the inequality has an equal sign attached