Find all sets of two consecutive odd integers with a sun that is at least 8 and less than or equal to 24.
Answer to Problem 17PPS
The possible sets of all two consecutive odd integers are: (3, 5), (5, 7), (7, 9), (9, 11), (11, 13)
Explanation of Solution
Given:
Find all sets of two consecutive odd integers with a sun that is at least 8 and less than or equal to 24.
Concept Used:
Find all sets of two consecutive odd integers with a sun that is at least 8 and less than or equal to 24.
Difference between two consecutive odd integers is 2
Let the two consecutive odd integers are x and x + 2
Sum of two consecutive odd integers is at least 8 and less than or equal to 24.
Compound Inequality equation:
Calculation:
Compound Inequality equation:
Solve for x, the smaller odd integer.
The solution set is on the number line:
A closed, or shaded,
So, the possible sets of all two consecutive odd integers are: (3, 5), (5, 7), (7, 9), (9, 11), (11, 13)
Thus, the possible sets of all two consecutive odd integers are: (3, 5), (5, 7), (7, 9), (9, 11), (11, 13)
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