5
QuizMultiple Choice

Modeling with Systems of Linear Inequalities

Question 5 • FL-1200710-Mathematics for College Algebra A

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

Answer
A
Inequality 1 is incorrect; it should be g ≤ 80.
B
Inequality 1 is incorrect; it should be g ≥ 80.
C
Inequality 2 is incorrect; it should be g < 3k – 3.
D
Inequality 2 is incorrect; it should be g ≥ 3k – 3.
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