Answer Happy

Using p and q as defined​ below, write out the statements
for​ (a) through​ (e) in symbolic form. Name the
hypothesis and the conclusion in each statement.
​r:​"A square is a rectangle​"
​s:"A rectangle has four ​sides"
Question content area bottom
Part 1
There are several ways to read
p→q
in​ English:
1. p implies q.
2. If​ p, then q.
3. p only if q.
4. q​, if p.
5. p is sufficient for q.
6. q is a necessary condition for p.
The hypothesis is p and the conclusion is q.
Part 2
​(a)
A square is a rectangle is a rectangle has four sides.
​First, identify the hypothesis and the conclusion.
The hypothesis for this statement is
▼
which is logically equivalent to
▼
Part 3
​Next, identify the conclusion.
The conclusion for this statement is
▼
which is logically equivalent to
▼
Part 4
The statement can be written in English as
▼
Part 5
The statement
​"A
square
is
a
rectangle
if
a
rectangle
has
four
​sides" is equivalent to
▼
→
▼
. The hypothesis is
▼
and the conclusion is
▼
.
Part 6
Repeat these steps to write each of the following statements in
symbolic form.
Part 7
​(b)
A
rectangle
has
four
sides if
a
square
is
a
rectangle.
Statement​ (b) is equivalent to
▼
→
▼
. The hypothesis is
▼
and the conclusion is
▼
.
Part 8
​(c)
A
rectangle
has
four
sides only if
a
square
is
a
rectangle.
Statement​ (c) is equivalent to
▼
→
▼
. The hypothesis is
▼
and the conclusion is
▼
.
Part 9
​(d)
A
square
is
a
rectangle
is sufficient to show that
a
rectangle
has
four
sides.Statement​ (d) is equivalent to
▼
→
▼
. The hypothesis is
▼
and the conclusion is
▼
.
Part 10
​(e) For
a
rectangle
to have
four
​sides, it is necessary for
a
square
to be
a
rectangle.
Statement​ (e) is equivalent to
▼
→
▼
. The hypothesis is
▼
and the conclusion is
▼
.