Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Let P={10,9,8}P = \{-10, -9, -8\} and Q={9,8,7,6,5}Q = \{-9, -8, -7, -6, -5\}. What is PQP \cap Q?\newlineChoices:\newline(A) {10,9,8,5}\{-10, -9, -8, -5\}\newline(B) {8}\{-8\}\newline(C) {9,8}\{-9, -8\}\newline(D) {10,9,8,7,6,5}\{-10, -9, -8, -7, -6, -5\}

Full solution

Q. Let P={10,9,8}P = \{-10, -9, -8\} and Q={9,8,7,6,5}Q = \{-9, -8, -7, -6, -5\}. What is PQP \cap Q?\newlineChoices:\newline(A) {10,9,8,5}\{-10, -9, -8, -5\}\newline(B) {8}\{-8\}\newline(C) {9,8}\{-9, -8\}\newline(D) {10,9,8,7,6,5}\{-10, -9, -8, -7, -6, -5\}
  1. Identify Common Elements: To find the intersection of two sets, we need to identify the elements that are common to both sets.
  2. Given Sets: Set PP contains the elements {10,9,8}\{-10, -9, -8\}.\newlineSet QQ contains the elements {9,8,7,6,5}\{-9, -8, -7, -6, -5\}.
  3. Comparison of Elements: By comparing the elements of PP and QQ, we can see that the common elements are 9-9 and 8-8.
  4. Intersection of Sets: Therefore, the intersection of sets PP and QQ, denoted by PQP \cap Q, is the set containing the elements {9,8}\{-9, -8\}.
  5. Correct Answer: Looking at the given choices, the correct answer is (C){9,8}\{-9, -8\}.

More problems from Euler's method