1. **State the problem:** We have two sets: - $A = \{\text{multiples of 5 between 14 and 26}\}$ - $B = \{\text{odd numbers between 14 and 26}\}$ We need to find: (a) The union $A \cup B$ (b) The intersection $A \cap B$ 2. **Find the members of set A:** Multiples of 5 between 14 and 26 are numbers divisible by 5 in that range. These are $15, 20, 25$. So, $A = \{15, 20, 25\}$. 3. **Find the members of set B:** Odd numbers between 14 and 26 are $15, 17, 19, 21, 23, 25$. So, $B = \{15, 17, 19, 21, 23, 25\}$. 4. **Find the union $A \cup B$:** Union means all elements in either $A$ or $B$ without repetition. $$A \cup B = \{15, 20, 25\} \cup \{15, 17, 19, 21, 23, 25\} = \{15, 17, 19, 20, 21, 23, 25\}$$ 5. **Find the intersection $A \cap B$:** Intersection means elements common to both $A$ and $B$. Common elements are $15$ and $25$. So, $$A \cap B = \{15, 25\}$$ **Final answers:** (a) $A \cup B = \{15, 17, 19, 20, 21, 23, 25\}$ (b) $A \cap B = \{15, 25\}$