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RoseWind [281]
3 years ago
7

The complement of the universal set U is 0. True of False​

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0
True, correct. The universal set
U
is characterized by ∀:∈
∀
x
:
x
∈
U
. Taking the complement yields a set
U
c
that is characterized by ∀:∉
∀
x
:
x
∉
U
c
. This is equivalent to the statement ¬∃:∈
¬
∃
x
:
x
∈
U
c
and hence
U
c
is an (the) empty set. (Depending on your theory, there may not be a unique empty set.)
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Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.75y−1.5y+0.5=5

0.75y+−1.5y+0.5=5

(0.75y+−1.5y)+(0.5)=5(Combine Like Terms)

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Step 2: Subtract 0.5 from both sides.

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Step 3: Divide both sides by -0.75.

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