Break it down
"15 less than " means -15
"a number" means unknown or placeholder means x
"is equal to" means '='
'12' means 12
-15+x=12
add 15
x=27
Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
Hello from MrBillDoesMath!
Answer:
5, 10, 0
Discussion:
Let "f" be the first number. Then the questions tells us that
f + 2f + (f-5) = 15 =>
f + 2f + f - 5 = 15 => add 5 to both sides
4f = 5+ 15 = 20 => divide both sides by 4
f = 20/4 = 5
The numbers as
f: 5
2f: 10
(f-5): 0
Thank you,
MrB
