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The inequality below compares two rational numbers.



-8/18 > 17/27-



If the two numbers were plotted as values on a horizontal number line, which statement would be true?


A Both numbers lie to the right of 0, and − lies to the left of −.

B Both numbers lie to the left of 0, and − lies to the left of −.

C Both numbers lie to the right of 0, and − lies to the right of −.

D Both numbers lie to the left of 0, and − lies to the right of −.

Sagot :

The given fractions of [tex]\mathbf{-\dfrac{8}{18}}[/tex], and  [tex]\mathbf{-\dfrac{17}{27}}[/tex], when arranged on the number

line will give;

C. Both numbers will lie to the left of 0, and [tex]-\dfrac{8}{18}[/tex], lies to the right of [tex]-\dfrac{17}{27}[/tex]

How can the positioning on the number line be found?

The given inequality is presented as follows;

[tex]-\dfrac{8}{18} > -\dfrac{17}{27}[/tex]

Therefore, whereby the two numbers are plotted on the number line, we have;

Given that [tex]-\dfrac{8}{18}[/tex] is negative and less than 0, [tex]-\dfrac{8}{18}[/tex], will lie to the left of the

number line.

Given that [tex]-\dfrac{17}{27}[/tex] is less than [tex]-\dfrac{8}{18}[/tex], [tex]-\dfrac{17}{27}[/tex] will lie to the left of  [tex]-\dfrac{8}{18}[/tex] on the

number line.

Which gives;

  • C. Both numbers will lie to the left of 0, and [tex]-\dfrac{8}{18}[/tex], lies to the right of [tex]-\dfrac{17}{27}[/tex]

Learn more about the number line here:

https://brainly.com/question/4520780

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