SOLUTION: Set-Builder Notation and Interval Notation. Suppose A={x is an element of real number: -2 less than or equal to X < 5 } and B= (-1, 6] 1. Find A U B and give the answer in interv

Question 1158642: Set-Builder Notation and Interval Notation.
Suppose A={x is an element of real number: -2 less than or equal to X < 5 } and B= (-1, 6]
1. Find A U B and give the answer in interval notation. (7marks)
2. Write A n (intersection) B as one set using set builder notation (4marks)

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Set-Builder Notation and Interval Notation.
Suppose A={ is an element of real number: } and B= (, ]
=>=,,,,,,
=>=,,,,,,,,

1. Find A U B and give the answer in interval notation.
means: the new set that contains every element from either of and
in your case contains every element from and some more, so union is actually set
U ==,,,,,,,,
in interval notation: (, ]

2. Write A (intersection) B as one set using set builder notation.
means: the new set that contains every element that is in both of the input sets; only things inside both of the input sets get added to the new set
in your case all elements of are also elements of , so intersection is actually set
∩= =,,,,,,

{ is an element of real number: }

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