8.) Write an inequality that can be used to represent this situation, where x represents Olivia’s sister’s age. (Short answer) Olivia is 6 years older than her sister. The sum of their ages is no more than 28 years.

Bonus: What is the oldest age her sister can be?

please show work!! It took me ages to try to solve this!

thank you future answers! :D

The oldest age of Olivia’s sister can be 11 years.

Step-by-step explanation:

Given: Olivia’s sister’s age is x years.

To write: inequality that can be used to represent the given situation.

As Olivia is 6 years older than her sister,

Olivia's age

As the sum of their ages is no more than 28 years,

So, the oldest age of Olivia’s sister can be 11 years.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )