Answer:
C. \(3\leq R\leq 11\)
Step-by-step explanation:
Let R represent range, in inches, of the possible rainfall in July.
We have been given that the average July rainfall in a city is 7 inches , but the actual rainfall may vary by as much as 4 inches.
We will use tolerance formula to solve our given problem.
\(|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}\)
\(|R-7|\leq4\)
Using absolute value rule \(|u|\leq a\), then \(-a\leq u\leq a\), we will get:
\(-4\leq R-7\leq4\)
\(-4+7\leq R-7+7\leq4+7\)
\(3\leq R\leq 11\)
Therefore, option C represents range, in inches, of the possible rainfall in July.
