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Symbolic Area

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Symbolic Area
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following means "not p or q"

p v q

p v ~q

~p ^ q

~p v q

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following statements represent p and q


p: the sea is calm

q: the sun is up


Which of the following symbolic statements represents "If the sea is not calm then the sun is up"?

~p ---> q

p ---> q

~(p v q)

p <----> q

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following statements represent p and q


p: the sea is calm

q: the sun is up


Which symbolic statement represents "If the sea is calm then the sun is not up"

p ---> q

q ---> p

~p ---> ~q

p ---> ~q

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following statements represent p and q


p: the sea is calm

q: the sun is up


which worded statement below represents ~p ---> q

the sea is calm if and only if the sun is not up

if the sea is not calm then the sun is not up

if the sea is not calm then the sun is up

the sun is not up but the sea is calm

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following statements represent p, q and r

p: the sea is calm
q: the sun is up
r: the beach is crowded

The which is the symbolic form of the statement:

"the sea is calm or, the sun is up if and only if the beach is crowded"

p ^ q ^ r

p ^ (q ---> r)

p v ( q <---> r)

(p v q) <---> r

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following statements represent p, q and r

p: the sea is calm
q: the sun is up
r: the beach is crowded

Which of the statements below is the correct representation of the symbolic statement:

(q ^ r) ---> p

The sun is up and the beach is crowded if and only if the sea is calm

If the sun is up and the beach is crowded, then the sea is calm

If the sea is calm and the sun is up, then the beach is crowded

the sun is up and the beach is not crowded or the sea is calm

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following statements represent p and q


p: the sea is calm

q: the sun is up


Which of the following means "the sea is calm or the sun is not up"

p v ~q

p ^ ~q

p v q

~p v ~q

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