Question
Asked Jun 28, 2019
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A and B are sets of real numbers defined as follows.
4 = {x | x > 3}
Bx|x5
Write A n B and A UB using interval notation.
If the set is empty, write Ø.
-oO
AU B
X
Il
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A and B are sets of real numbers defined as follows. 4 = {x | x > 3} Bx|x5 Write A n B and A UB using interval notation. If the set is empty, write Ø. -oO AU B X Il

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Expert Answer

Step 1
It is given that, the real numbers sets are A= {x|x>3} and B = {x|x<5}.
The interval notation of the set A-{x|x>3} is (3,00) and the interval notation
of the set B{xxs5} is(-,5]
help_outline

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It is given that, the real numbers sets are A= {x|x>3} and B = {x|x<5}. The interval notation of the set A-{x|x>3} is (3,00) and the interval notation of the set B{xxs5} is(-,5]

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Step 2
Find the value of AUB in interval notation.
AB (3,0)(0,5]
(,5(3,)
(0,0)
Thus, the value of AJB is(-0,)
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Find the value of AUB in interval notation. AB (3,0)(0,5] (,5(3,) (0,0) Thus, the value of AJB is(-0,)

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Step 3
Find the value of AnB in interval notation.
AnB (3,0)(0,5]
(,5(3,0)
(3,5]
Thus, the value of AnB is(3,5]
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Find the value of AnB in interval notation. AnB (3,0)(0,5] (,5(3,0) (3,5] Thus, the value of AnB is(3,5]

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