The height (\( h \) meters) and age (\( a \) years) of a tree are related by the following inequality:

\[ h < 4a - 3 \]

for values of \( a \) between 1 and 10. Which pair of values satisfy this inequality?

A. \( h = 2 \) and \( a = 1 \)

B. \( h = 6 \) and \( a = 2 \)

C. \( h = 10 \) and \( a = 3 \)

D. \( h = 20 \) and \( a = 6 \)

h < 4a – 3 (2) < 4(1) - 3 2 < 4 - 3 2 < 1 Not True
h < 4a – 3 (6) < 4(2) - 3 6 < 8 - 3 6 < 5 Not True
h < 4a – 3 (10) < 4(3) - 3 10 < 12 - 3 10 < 9 Not True
h < 4a – 3 (20) < 4(6) - 3 20 < 24 - 3 20 < 21 True
Answer: (d) h = 20 and a = 6

Answered by iloveonedirection | 2024-06-24

The pair of values that satisfies the inequality h < 4 a − 3 is Option D: h = 20 and a = 6 . All other options do not meet the condition set by the inequality.
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Answered by iloveonedirection | 2024-11-04