Question

LINEAR Writing an inequality given a graph on the... Write an inequality for the graph shown below. Use x for your variable. + -11-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 x

Answer 1

`\mleft\lbrace x\in\mathfrak{\Re }\colon x\ge3\mright\rbrace\text{ or simply x}\ge3`

1.Examining the picture, the number line we can write the following inequality to express it

`\begin{gathered} \mleft\lbrace x\in\mathfrak{\Re }\colon\text{ x}\ge\text{ 3}\mright\rbrace\text{ or simply x}\ge3 \\ \end{gathered}`

So the answer expresses this set. A range of values.

Since the number line is infinite, then it does not stop at 11.

Alternatively, we can write:

`\mleft\lbrace x\in\mathfrak{\Re }\colon3\leq x\leq\infty\mright\rbrace`