Practice Quiz

SAT Math

Category - Number and Operations

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What is the intersection of A = {x is an integer and |x|≤2} and
B = {x is an integer and-5≤xandlt;0}?
  1. {-5,-4,-3}
  2. {-5,-4,-3,-2,-1}
  3. {-5,-4,-3,-2,-1,0,1,2}
  4. {-2,-1,0,1,2}
  5. {-2,-1}
Explanation
Answer: E - The intersection is {-2,-1}. The intersection of two sets contains common elements from both sets.
A = {x is an integer and |x|≤2} = {-2≤x≤2} = {-2,-1,0,1,2}
B = {x is an integer and-5≤xandlt;0} = {-5,-4,-3,-2,-1}
A∩B = {-2,-1,0,1,2}∩{-5,-4,-3,-2,-1} = {-2,-1}
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