Question

Write the statements in symbolic form. Let

p: The temperature is 90°.
q:The air conditioner is working.
r.The apartment is hot.

If the apartment is hot and the air conditioner is working, then the temperature is 90°.

Answer 1

The symbol for "if.... then" is "->"

The symbol for "and" is "^"

So the symbolic form is (r^q)->p.

Answer 2

hmmmm still so confusing :(

Answer 3

Write the statement in words if:

p: The water is 70o F.
q: The sun is shining
r: We go swimming

23. ~p → (q v r)
24. (q ↔p) ^r
25. (p →r) ^ p
26. (p ^ q) v r

Answer 4

[AI-generated answer — Explain Bot]

Let's break down the given statement:

"If the apartment is hot and the air conditioner is working, then the temperature is 90°."

We can translate each part of the statement into symbolic form:

p: The temperature is 90°.
q:The air conditioner is working.
r. The apartment is hot.

The given statement can be represented symbolically as:

r ∧ q → p

In this representation, ∧ represents the logical 'AND' operator, → represents the logical 'IF...THEN' operator, and the variables p, q, and r represent the corresponding statements mentioned in the question.