Answer:
a. The sum of the first 100 odd positive integers - Not a statement
b. Everybody needs somebody sometime - Atomic statement
c. The Broncos will win the Super Bowl or I'll eat my hat - Molecular statement (disjunction)
d. We can have donuts for dinner, but only if it rains - Molecular statement (conditional)
e. Every natural number greater than 1 is either prime or composite - Atomic statement
f. This sentence is false - Not a statement
Step-by-step explanation:
A statement in mathematics can be said to be any declarative statement that can either be true or false. While a sentence is considered to not be a statement if
Statements are divided into 2:
- Atomic statements: These are statements that cannot be split into mini statements.
- Molecular statements: These are the opposites of atomic statements. They are statements that cannot be spilt. This can further be divided into; conjunction, disjunction, conditional, bi-conditional and negation
The answer to the question is: Yes.
Explanation: It can be solved by following exactly the same procedures
that solved the other two questions that you posted within the past 15 minutes.
Since I'm here already, here is the solution to this one:
6x² + 18x = 0
Divide each side of the equation by 6 :
x² + 3x = 0
Factor the left side:
x(x+ 3) = 0
This statement is true if x=0 or if x=3.
The solution to this one is even the same as the solution to the last one you posted.
You really ought to take a break, go back, review the solutions you've been given,
and try to solve a few on your own.
B. I am so sorry if it is not right
Answer:
n<50
Step-by-step explanation:
7/2*5n + 14<49
7n/2*5+14<49
(7n)+(2*5)14/2*5 <49
7n+10*14/2*5 <49
7n+140/2*5 <49
7n+140/10 <49
7n+140 < 10*49
7n+140 < 490
(7n+140)+(-140)<490+(-140)
7n+140-140<490-140
7n<350
7n/7 < 350/7
n<2*5^2*7/7
n<2*5^2
n<2*25
n<50
