Question

Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. He says his grandmother’s age is, at most, 3 years less than 3 times his own age. Jane writes this system of inequalities to represent k, Kyle’s age, and g, Kyle’s grandmother’s age.

Answer 1

I would say it would look something like this: 3k - 3 = g? That would be my best guess. I hope I helped & I'm so sorry if I'm wrong!

Answer 2

The system of inequialities is:

• g ≤ 8

• g ≤ 3k-30

Explanation:

Hi, we have to write the inequalities using the information given:

k: Kyle’s age

g: Kyle’s grandmother’s age

a-: Kyle´s grandmother is not more than 80 years old.

Not more means less or equal (≤), mathematically speaking:

g ≤ 80

b-: Kyle´s grandmother’s age is, at most, 3 years less than 3 times Kyle´s age.

At most also means less or equal.

g ≤ 3k-3

The system of inequalities is:

• g ≤ 8

• g ≤ 3k-30

Feel free to ask for more if it´s necessary or if you did not understand something.