Question

The average July rainfall in a city is 7 inches , but the actual rainfall may vary by as much as 4 inches. What is the range , in inches , of the possible rainfall in July?
A) 3 < R < 7
B) 7 < R < 11
C) 3 < R < 11
( ALL ARE INCLUSIVE I just didn't have the sign for it )

Answer 1

The answer is C. (too lazy to explain how sorry)

Answer 2

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.