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Answered

List all the elements with the following notations: where x = -5, and y = 5

(x, y)
[x, y]
[x, y)
(x, y]

Sagot :

AGboiigo

ANSWER

For (-5,5) = -5 < x < 5

  • The parenthesis implies that -5 and 5 is not included , but the integers between them are included.
  • elements = {-4,-3,-2,-1,0,1,2,3,4}

For [-5,5] = -5 ≤ x ≤ 5

  • The bracket implies that -5 and 5 are included together with the integers between them.
  • elements = {-5,-4,-3,-2,-1,0,1,2,3,4,5}

For [-5,5) = -5 ≤ x < 5

  • This set-builder notation implies that -5 is included while 5 is excluded , together with the integers between them.
  • elements = {-5,-4,-3,-2,-1,0,1,2,3,4}

For (-5,5] = -5 < x ≤ 5

  • This set-builder notation implies that -5 is excluded on the integers between -5 and 5 , note that 5 is included because the symbol is a bracket.
  • elements = {-4,-3,-2,-1,0,1,2,3,4,5}

Remember

  • [ ] when the symbol is a bracket , they are included
  • ( ) when the symbol is a parenthesis , they are not included (excluded)

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