the inequality below compares two rational numbers -6/18-17/27 if two numbers were plotted as values on a horizontal number line. which statement is true?​

Correct question is;

The inequality below compares two rational numbers.

-6/18 > -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 −6/18 lies to the left of −17/27

B) Both numbers lie to the left of 0, and −6/18 lies to the left of −17/27

C) Both numbers lie to the right of 0, and −6/18 lies to the right of −17/27.

D) Both numbers lie to the left of 0, and −6/18 lies to the right of −17/27

Option D

Step-by-step explanation:

In writing inequality on a number line, any number that is negative will lie to the left of zero while any number that is positive will lie to the right of zero.

Now in this case they are both negative, so they will lie to the left of zero.

Also, the number that is greater will lie to the right of the lesser number.. In this case -6/18 > -17/27. Thus, -6/18 will lie to the right of -17/27

Thus, option D is correct

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are