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Set Intersection Quiz

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4 Questions

If ๐ธ = {47,48,49,50} and๐น = {48,50,49,47},then ๐ธ โˆฉ ๐น is equal to:

E, F and ๐ธ โˆช F

The conjugate of (1 โˆ’ ๐‘–)(3๐‘– + 2) would be:

(1 + ๐‘–)(3๐‘– โˆ’ 2)

Which of the following is polynomial:

C

Choose the best Answers

B

Study Notes

Set Operations

  • ๐ธ = {47, 48, 49, 50} and ๐น = {48, 50, 49, 47} are two sets.
  • The intersection of two sets, denoted by โˆฉ, contains elements common to both sets.
  • Hence, ๐ธ โˆฉ ๐น = {47, 48, 49, 50} = ๐ธ = ๐น, 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 โˆ’ ๐‘–)(3๐‘– + 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 ๐‘ฅ or ๐‘ฆ) 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.

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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