This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: List the elements of set P. The set P is defined as P = \2n + 1 : n = 1, 2, 3, 4\. Substitute each value of n into the expression 2n+1: For n=1: 2(1)+1 = 3 For n=2: 2(2)+1 = 5 For n=3: 2(3)+1 = 7 For n=4: 2(4)+1 = 9 So, P = \3, 5, 7, 9\. Step 2: List the elements of set Q. The set Q is defined as Q = \2n - 1 : n = 3, 4, 5, 6\. Substitute each value of n into the expression 2n-1: For n=3: 2(3)-1 = 5 For n=4: 2(4)-1 = 7 For n=5: 2(5)-1 = 9 For n=6: 2(6)-1 = 11 So, Q = \5, 7, 9, 11\. Step 3: Find the intersection P Q. The intersection of two sets consists of all elements that are common to both sets. P = \3, 5, 7, 9\ Q = \5, 7, 9, 11\ The elements common to both P and Q are 5, 7, and 9. Therefore, P Q = \5, 7, 9\. The final answer is \5, 7, 9\. Send me the next one 📸