Set Intersection Quiz
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Questions and Answers

If 𝐸 = {47,48,49,50} and𝐹 = {48,50,49,47},then 𝐸 ∩ 𝐹 is equal to:

  • E only
  • F only
  • 𝐸 ∪ F
  • E, F and 𝐸 ∪ F (correct)

The conjugate of (1 − 𝑖)(3𝑖 + 2) would be:

  • (1 + 𝑖)(3𝑖 − 2) (correct)
  • (𝑖 + 5)
  • (𝑖 − 5)
  • (−𝑖 + 5)

Which of the following is polynomial:

  • A
  • B
  • C (correct)
  • D

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Study Notes

Set Operations

  • 𝐸 = {47, 48, 49, 50} and 𝐹 = {48, 50, 49, 47} are two sets.
  • The intersection of two sets, denoted by ∩, contains elements common to both sets.
  • Hence, 𝐸 ∩ 𝐹 = {47, 48, 49, 50} = 𝐸 = 𝐹, since both sets contain the same elements.

Complex Numbers

  • The conjugate of a complex number is obtained by changing the sign of the imaginary part.
  • The conjugate of (1 − 𝑖)(3𝑖 + 2) can be found by applying the distributive property and then changing the sign of the imaginary part.

Polynomials

  • A polynomial is an expression consisting of variables (such as 𝑥 or 𝑦) and coefficients (such as numbers) combined using only addition, subtraction, and multiplication.
  • The terms of a polynomial are separated by PLUS signs, and each term contains a variable raised to a non-negative integer power.

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Description

Test your knowledge on set theory by finding the intersection of two sets. In this case, you need to determine the common elements between sets E and F. Pay attention to the order of elements and set notation.

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