§3.3 Statements with Multiple Quantifiers
41.
Indicate which of the following statements are true and which
are false.
Justify your answers as best you can.
f.
,
such that
.
and
z
z
x
y
x
y
∃
=
−
+
+
+
∀ ∈
∀ ∈
∈
g.
,
such that
.
and
z
z
x
y
x
y
∃
=
−
∀ ∈
∀ ∈
∈
h.
such that
,
.
u
v
uv
v
∃
∀ ∈
<
+
+
∈

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