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3 years ago

Which value is included in the solution set for the inequality graphed on the number line?

Mathematics

2 answers:

kkurt [141]3 years ago

5 0

The answer would be B or C

ankoles [38]3 years ago

4 0

Answer:

This is the correct answer B. -2

Step-by-step explanation:

Don't have one its simple have a nice day :)

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Three less than a number x is more than 15. an inequality that represents this word sentence is

Alina [70]

Answer:

x - 3 > 15

Step-by-step explanation:

7 0

1 year ago

Mallory has $9 to buy lollipops that cost $0.35 each. What is the greatest number of lollipops she can buy?

inn [45]

She can buy 25 lollipops

5 0

3 years ago

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

Put the correct graph to each category

Svet_ta [14]

Answer:

First one is a slope between 0 and 1

second one is a slope lower than 0

third one is a slop higher than 1

last one is a slope higher than 1 (technically undefined)

Step-by-step explanation:

8 0

3 years ago

Which of the following is a perfect square trinomial?

marissa [1.9K]

Answer:

a. x² + 10x + 25

Step-by-step explanation:

because

(x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25

so, it is a perfect square of (x + 5).

4 0

1 year ago