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For the following inequality, write the solution set in set-builder and interval notation, and graph the solution seton a number line.Set-builder notation: {x||Interval notation:Graph the solution set:

For the following inequality write the solution set in setbuilder and interval notation and graph the solution seton a number lineSetbuilder notation xInterval class=

Respuesta :

We have a inequality defined as:

[tex]x\leq\frac{2}{3}[/tex]

We have to express it in set-builder notation.

We can do it directly as:

[tex]\lbrace x|x\leq2\/3\rbrace[/tex]

If we have to express it in interval notation we can express all the values of x that are equal to or less than 2/3 as:

[tex]x\in(-\infty,2\/3][/tex]

Finally we can graph this in a number line as:

Answer:

Set-builder notation: { x | x ≤ 2/3 }

Interval notation: (-∞, 2/3]

Number line: picture in the answer

Ver imagen LyanneL127415

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