Question

For the interval expressed in the number line, write it using set-builder notation and interval notation.

Answer 1

Writing the number line in set builder notation we have;

`\mleft\lbrace x\mright|x>0\}`

Writing in interval notation.

`x=(0,\infty)`

Step-by-step explanation:

Given the number line in the attached image.

x starts on 0, with a non shaded circle and pointed to the right/positive direction.

So;

`x>0`

Writing the number line in set builder notation we have;

`\mleft\lbrace x\mright|x>0\}`

Writing in interval notation.

`x=(0,\infty)`

Since the upper boundary of x is not stated then we will represent it with infinity in the interval notation.

[tex]\begin{gathered} (\text{ }\rightarrow\text{ greater than} \\ \lbrack\text{ }\rightarrow\text{ greater than or equal to } \\ so,\text{ } \\ 0