<span>A = {odd numbers between 0 and 100} </span><span>A = {1, 3, 5, 7,...., 95, 97, 99}
B = </span><span>{numbers between 50 and 150 that are evenly divisible by 5} B = {50, 55, 60, 65, ..., 140, 145, 150}
The notation </span><span>A ∩ B means the set of items that are in set A and also in set B. In terms of venn diagrams, it's the overlapping region between circle A and circle B
In this case, the following values are found in both set A and set B {55, 65, 75, 85, 95}
So that's why </span>A ∩ B = <span>{55, 65, 75, 85, 95} which is the final answer</span>
Four CDs must be bought to receive a gift card from an <em>online</em> store.
<h3>How to determine the least number of CDs to be bought to receive a gift card</h3>
The <em>total</em> costs are equal to the sum of the <em>shipping</em> cost and the total related to the number of <em>acquired</em> CDs (n). The number of gift cards (m) is equal to the total costs divided by <em>minimum spent</em> money, that is, $ 50. We need to solve the following inequation to find the minimum quantity of CDs:
(12 · n + 5)/50 > 1
12 · n + 5 > 50
12 · n > 45
n > 45/12
n > 3.75
Four CDs must be bought to receive a gift card from an <em>online</em> store.
