Questions: Write the set using the roster method. Set A is the set of positive two-digit odd numbers greater than 39 that are divisible by 5.

Write the set using the roster method. Set A is the set of positive two-digit odd numbers greater than 39 that are divisible by 5.
Transcript text: Write the set using the roster method. Set $A$ is the set of positive two-digit odd numbers greater than 39 that are divisible by 5 . Answer \[ A=\square \]
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Solution

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Solution Steps

To solve this problem, we need to identify all the positive two-digit odd numbers greater than 39 that are divisible by 5. We can start by listing the two-digit numbers greater than 39, then filter out the odd numbers, and finally check which of these numbers are divisible by 5.

Step 1: Identify the Range of Numbers

We need to find the set of positive two-digit odd numbers greater than 39. The range of two-digit numbers greater than 39 is from 40 to 99.

Step 2: Filter Odd Numbers

From the range identified, we filter out the odd numbers. Odd numbers are those that are not divisible by 2.

Step 3: Check Divisibility by 5

From the filtered odd numbers, we further filter out the numbers that are divisible by 5. A number is divisible by 5 if the remainder when divided by 5 is zero.

Final Answer

\[ A = \{45, 55, 65, 75, 85, 95\} \]

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