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Let Q={−7,0,7}Q = \{-7, 0, 7\} and R={−3,0,3,4}R = \{-3, 0, 3, 4\}. What is Q∩RQ \cap R?\newlineChoices:\newline(A) {0,4,7}\{0, 4, 7\}\newline(B) {0}\{0\}\newline(C) {−3,0,3,4,7}\{-3, 0, 3, 4, 7\}\newline(D) {−7,−3,0,3,4,7}\{-7, -3, 0, 3, 4, 7\}

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Q. Let Q={−7,0,7}Q = \{-7, 0, 7\} and R={−3,0,3,4}R = \{-3, 0, 3, 4\}. What is Q∩RQ \cap R?\newlineChoices:\newline(A) {0,4,7}\{0, 4, 7\}\newline(B) {0}\{0\}\newline(C) {−3,0,3,4,7}\{-3, 0, 3, 4, 7\}\newline(D) {−7,−3,0,3,4,7}\{-7, -3, 0, 3, 4, 7\}
  1. Understand Intersection Concept: Understand the concept of intersection. The intersection of two sets, denoted by Q∩RQ \cap R, is the set containing all elements that are both in QQ and in RR.
  2. List Set Q Elements: List the elements of set QQ. \newlineQ={−7,0,7}Q = \{-7, 0, 7\}
  3. List Set RR Elements: List the elements of set RR.R={−3,0,3,4}R = \{-3, 0, 3, 4\}
  4. Identify Common Elements: Identify common elements in sets QQ and RR. The only common element in both sets QQ and RR is 00.
  5. Write Intersection of Q and R: Write the intersection of Q and R. Q∩R={0}Q \cap R = \{0\}

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