Answer:
Vacuous proof is used.
Step-by-step explanation:
Given:
Proposition p(n) :
"if n is a positive integer greater than 1, then n² > n"
To prove:
Prove the proposition p (0)
Solution:
Using the proposition p(n) the proposition p(0) becomes:
p(0) = "if 0 is a positive integer greater than 1, then 0² > 0"
The proposition that "0 is a positive integer greater than 1" is false
Since the premises "if 0 is a positive integer greater than 1" is false this means the overall proposition/ statement is true.
Thus this is the vacuous proof which states that:
if a premise p ("0 is a positive integer greater than 1") is false then the implication or conditional statement p->q ("if n is a positive integer greater than 1, then n² > n") is trivially true.
So in vacuous proof, the implication i.e."if n is a positive integer greater than 1, then n2 > n." is only true when the antecedent i.e. "0 is a positive integer greater than 1" cannot be satisfied.
<span>Marty has saved = $63
</span><span>He spent on a video rental = $3
Remaining money he saved = $63 - $3 = $60
</span><span>portion of his savings left = 60/72 = 30/36 = 5/6
</span>Thus the answer is 5/6 or 5:6
Answer:
8820
Step-by-step explanation:
Prime factorization of 294,
→ 2 × 3 × 7 × 7
Prime factorization of 1260,
→ 2 × 2 × 3 × 3 × 5 × 7
LCM of 294 and 1260,
→ 2 × 2 × 3 × 3 × 5 × 7 × 7
→ 8820
Hence, the LCM is 8820.
Hi friend,
3429111----
4 place value will be 40000 (4 lakh).
Hope it helps........
Answer:
x=14
Step-by-step explanation:
28/16 = 1.75
1.75 is the constant of proportionality
63/1.75 = 36
therefore, 2x+8 should be equal to 36
2x+8 = 36 >> subtract 8 from both sides
2x = 28 >> divide both side by 2 to get x alone
x = 14