Question

Prove the following: If x and y are real numbers and x+y>20, then x>10 or y>10

Prove the following:

If x and y are real numbers and x+y>20, then x>10 or y>10

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove the following: For any positive real numbers x and y, x+y ≥ √(xy)
Prove the following: For any positive real numbers x and y, x+y ≥ √(xy)
Prove that |cos x - cosy| < |x-y| for any x, y in the real numbers.
Prove that |cos x - cosy| < |x-y| for any x, y in the real numbers.
1) Prove that for all real numbers x and y, if x < y, then x...
1) Prove that for all real numbers x and y, if x < y, then x < (x+y)/2 < y 2) Let a, b ∈ R. Prove that: a) (Triangle inequality) |a + b| ≤ |a| + |b| (HINT: Use Exercise 2.1.12b and Proposition 2.1.12, or a proof by cases.)
Let x and y be real numbers. Then prove that sqrt(x^2) = abs(x) and abs(xy) =...
Let x and y be real numbers. Then prove that sqrt(x^2) = abs(x) and abs(xy) = abs(x) * abs(y)
Prove the following using the specified technique: (a) Prove by contrapositive that for any two real...
Prove the following using the specified technique: (a) Prove by contrapositive that for any two real numbers,x and y,if x is rational and y is irrational then x+y is also irrational. (b) Prove by contradiction that for any positive two real numbers,x and y,if x·y≥100 then either x≥10 or y≥10. Please write nicely or type.
Use axioms to prove the theorem: if x and y are non-zero real numbers, then xy...
Use axioms to prove the theorem: if x and y are non-zero real numbers, then xy does not equal 0
Let x = {x} and y ={y} represent bounded sequences of real numbers, z = x...
Let x = {x} and y ={y} represent bounded sequences of real numbers, z = x + y, prove the following: supX + supY = supZ where sup represents the supremum of each sequence.
Prove the following theorem about rational numbers: If [(x, y)] ≠ [(0, 1)] then [(x, y)]...
Prove the following theorem about rational numbers: If [(x, y)] ≠ [(0, 1)] then [(x, y)] has a multiplicative inverse
Describe all pairs (x , y) of real numbers x and y that satisfy the following...
Describe all pairs (x , y) of real numbers x and y that satisfy the following equation: x^2 + 2x + 1 = y^2 − 6y + 9
For all x and y, if x and y are real numbers, then exactly one of...
For all x and y, if x and y are real numbers, then exactly one of the following three statements is true: 1. x < y 2. x = y 3. x > y
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT