kyle asks his friend jane to guess his age and his grandmothers age. kyle says his grandmother is not more…

kyle asks his friend jane to guess his age and his grandmothers age. kyle says his grandmother is not more than 80 years old. he says his grandmothers age is, at most, 3 years less than 3 times his own age. jane writes this system of inequalities to represent k, kyles age, and g, kyles grandmothers age. inequality 1: g > 80 inequality 2: g ≤ 3k - 3 which inequality did jane write incorrectly, and how could it be corrected? inequality 1 is incorrect; it should be g ≤ 80. inequality 1 is incorrect; it should be g ≥ 80. inequality 2 is incorrect; it should be g < 3k - 3. inequality 2 is incorrect; it should be g ≥ 3k - 3.

kyle asks his friend jane to guess his age and his grandmothers age. kyle says his grandmother is not more than 80 years old. he says his grandmothers age is, at most, 3 years less than 3 times his own age. jane writes this system of inequalities to represent k, kyles age, and g, kyles grandmothers age. inequality 1: g > 80 inequality 2: g ≤ 3k - 3 which inequality did jane write incorrectly, and how could it be corrected? inequality 1 is incorrect; it should be g ≤ 80. inequality 1 is incorrect; it should be g ≥ 80. inequality 2 is incorrect; it should be g < 3k - 3. inequality 2 is incorrect; it should be g ≥ 3k - 3.

Answer

Explanation:

Step1: Analyze the first - age condition

Kyle says his grandmother is not more than 80 years old. This means the grandmother's age $g$ should satisfy $g\leq80$, not $g > 80$.

Step2: Analyze the second - age condition

Kyle says his grandmother’s age is, at most, 3 years less than 3 times his own age. “At most” implies less than or equal to, and the inequality $g\leq3k - 3$ is correct as Jane wrote it.

Answer:

Inequality 1 is incorrect; it should be $g\leq80$.