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3 years ago

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Do you think inequalities or equations are used more in everyday life? Justify your answer. In your answer include literal equat

ions. How is solving a literal equation different from a one- or two-step equation?

1 answer:

nevsk [136]3 years ago

5 0

Yes, I do think that inequalities or equations are used more in everyday life.

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For each of the following, use logic laws to decide whether the statement is a tautology contradiction, or neither. a (a) (A B)

spayn [35]

Answer:

The statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

The statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

Step-by-step explanation:

A tautology is a proposition that is always true.

A contradiction is a proposition that is always false.

A contingency is a proposition that is neither a tautology nor a contradiction.

a) To classify the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ , you need to use the logic laws as follows:

$(A\rightarrow \lnot B)\land (B\rightarrow A) \equiv$

$\equiv (\lnot A \lor\lnot B)\land(\lnot B \lor A)$ by the logical equivalence involving conditional statement.

$\equiv (\lnot B\lor \lnot A )\land(\lnot B \lor A)$ by the Commutative law.

$\equiv \lnot B \lor (\lnot A \land A)$ by Distributive law.

$\equiv \lnot B \lor (A \land \lnot A)$ by the Commutative law.

$\equiv \lnot B \lor F$ by the Negation law.

Therefore the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

b) To classify the statement $(P\rightarrow \lnot P)\land P$ , you need to use the logic laws as follows:

$(P\rightarrow \lnot P)\land P \equiv$

$\equiv (\lnot P \lor \lnot P)\land P$ by the logical equivalence involving conditional statement.

$\equiv P \land (\lnot P \lor \lnot P)$ by the Commutative law.

$\equiv (P \land \lnot P) \lor (P \land \lnot P)$ by Distributive law.

$\equiv F \lor F \equiv F$ by the Negation law.

Therefore the statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

8 0

3 years ago

What is greater, 3/5r 4/10?

DanielleElmas [232]

3/5 = .6 and 4/10 = .4, so 3/5 is greater than 4/10

7 0

3 years ago

You placed a 12% down payment on a new home. Given that the amount of the down payment was $42,655.12, determine the price of th

balandron [24]

12% = $42,655.12

.12x = 42655.12
---------------------
0.12 0.12

355,459.33 is the price of the house.

4 0

3 years ago

Read 2 more answers

Lois has five blue plates and ten red plates what percent of her plate collection is blue

Dvinal [7]

There are 15 articles of clothing
5 are blue and 10 are red

5/15 will give you a percent which is your answer

Answer 0.333333333

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3 years ago

A is a plane figure bounded by more than four straight lines.

kolezko [41]

Answer:

A plane figure with 4 sides is called a quadrilateral.

Step-by-step explanation:

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3 years ago