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. Inequality 1: g > 80 Inequality 2: g ≤ 3k – 3 Which inequality did Jane write incorrectly, and how could it be corrected?

Answer 1

Inequality 1 is incorrect. It should be g is less than it equal to 80. It is less than because she is not more than and equal to because 80 is still included

Answer 2

She wrote the first inequality incorrectly because Kyle's grandmother is not more than 80 years old, but that inequality means that she is. A corrected inequality could be g < 80. I hope this helps!