Answer: The proofs are given below.
Step-by-step explanation: We are given to prove that the following statements are tautologies using truth table :
(a) ¬r ∨ (¬r → p) b. ¬(p → q) → ¬q
We know that a statement is a TAUTOLOGY is its value is always TRUE.
(a) The truth table is as follows :
r p ¬r ¬r→p ¬r ∨ (¬r → p)
T T F T T
T F F T T
F T T T T
F F T F T
So, the statement (a) is a tautology.
(b) The truth table is as follows :
p q ¬q p→q ¬(p→q) ¬(p→q)→q
T T F T F T
T F T F T T
F T F T F T
F F T T F T
So, the statement (B) is a tautology.
Hence proved.
knowing the answer is between 3 & 4 plug those as x and see what you get for answers than adjust the number accordingly
3^3+2(3) = 33 so its higher than 3
4^3 + 2(4) = 72 so it is lower than 4
try the middle so try 3.5
3.5^3 + 2(3.5) = 49.875
question states use 1 decimal place so now try 3.6
3.6^3+2(3.6) = 53.856
3.5 is closest
Answer:
2+2 is 4 minus 1 is 3.
Step-by-step explanation:
Think about the question, you can't say that i am wong.
D)One solution. b=5
Distribute 2 times b plus 2 times 3
2b+6
2b+6+2b=26
Combine like terms 4b+6=26
Subtract 6 from both sides
4b=20
Divide both sides by 4
b=5
Check by substituting 5 for b
2 (5+3)+2(5)=26
2(8) + 2(5)=26
16+10=26
26=26
Answer:
Geometry
Step-by-step explanation:
