List the elements of the following sets:
(1) {factor of 24}.
(2) {Negative integers greater than _9}.
(3) {Integers whose squares are less than 200 but greater than 40}.
(4) {Odd positive numbers less than 30}.
Sure! Here's how you can find the elements of each set:
(1) {factor of 24}:
To find the factors of 24, you need to identify the numbers that divide evenly into 24. Start by listing the numbers from 1 to 24, and then determine which of those numbers divide 24 without leaving a remainder. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.
(2) {Negative integers greater than -9}:
For this set, you need to find the negative integers that are greater than -9. Start by looking at the negative numbers that come after -9, which are -10, -11, -12, and so on. The set of negative integers greater than -9 is: -10, -11, -12, -13, -14, -15, and so on.
(3) {Integers whose squares are less than 200 but greater than 40}:
Here, you're looking for integers whose squares fall within a specific range. To find them, you can start by listing the integers from 1, 2, 3, and so on, and then calculate the squares of each number. Check which of those squares are less than 200 but greater than 40. The set of integers whose squares satisfy this condition is: 6, 7, 8, 9, 10, 11, 12, 13, and their negative counterparts.
(4) {Odd positive numbers less than 30}:
For this set, you need to find the odd positive numbers that are less than 30. Start by listing odd numbers in ascending order until you reach 30, and then select the ones that are positive. The odd positive numbers less than 30 are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, and 29.
Remember, these are just examples based on the given instructions. The sets can vary depending on the specific criteria mentioned.