Answer:
The conclusion "T" logically follows from the premises given and the argument is valid
Step-by-step explanation:
Let us use notations to represent the steps
P: I take a bus
Q: I take the subway
R: I will be late for my appointment
S: I take a taxi
T: I will be broke
The given statement in symbolic form can be written as,
(P V Q) → R
S → (¬R ∧ T)
(¬Q ∧ ¬P) → S
¬R
___________________
∴ T
PROOF:
1. (¬Q ∧ ¬P) → S Premise
2. S → (¬R ∧ T) Premise
3. (¬Q ∧ ¬P) → (¬R ∧ T) (1), (2), Chain Rule
4. ¬(P ∨ Q) → (¬R ∧ T) (3), DeMorgan's law
5. (P ∨ Q) → R Premise
6. ¬R Premise
7. ¬(P ∨ Q) (5), (6), Modus Tollen's rule
8. ¬R ∧ T (4), (7), Modus Ponen's rule
9. T (8), Rule of Conjunction
Therefore the conclusion "T" logically follows from the given premises and the argument is valid.
Answer:
<em>Good Luck!</em>
Step-by-step explanation:
Answer:
I can't put the symbol in but less then or equal to 45mph
Step-by-step explanation:
Answer:
this Answer is
Step-by-step explanation:
2(3x+1) ≤ 20
6x+1≤20
6x≤19
x≤19/6
4(x−1)<2
4x-1<2
4x< 3
x< 3/ 4
Answer:
The speed of the jet in still air is 260 miles per hour.
Step-by-step explanation:
Given that a small jet can fly 858 miles in 3 hours with a tailwind but only 702 miles in 3 hours into a headwind, to find the speed of the jet in still air the following calculation must be performed:
858/3 = 286
702/3 = 234
(286 - 234) / 2 = X
52/2 = X
26 = X
286 - 26 = 234 + 26
260 = 260
Therefore, the speed of the jet in still air is 260 miles per hour.
