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

For The Interval Expressed In The Number Line Write It Using Setbuilder Notation And Interval Notation class=

Sagot :

Answer:

Writing the number line in set builder notation we have;

[tex]\mleft\lbrace x\mright|x>0\}[/tex]

Writing in interval notation.

[tex]x=(0,\infty)[/tex]

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;

[tex]x>0[/tex]

Writing the number line in set builder notation we have;

[tex]\mleft\lbrace x\mright|x>0\}[/tex]

Writing in interval notation.

[tex]x=(0,\infty)[/tex]

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
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