Find a counterexample for the statement: If 4n - 8 > 52, then n > 15?

Answer 1

there are none,
the two inequalities are equivalent.
i.e., any number which makes the first true will make the second true. the converse has no counterexamples either, as any number which makes the second true will make the first true.

Answer 2

A counterexample to p-->q, you need to find a case where p is true and q is not. So your counterexample would have to be n such that
4n-8>52 and n<=15 --->
4n-8>52 and 4n<=60 --->
4n-8>52 and 4n-8<=52 --->
impossible.

Answer 3

4n - 8 > 52 <=> 4n > 60 <=> n > 15

=> There is no counterexample.

Answer 4

Let
p = 4n - 8 > 52
q = n > 15
p=>q : 4n - 8 > 52, then n > 15.

The counter example is '4n - 8 < 52, then n > 15'

This is a counter example because, p=>q is true, if p is true and false if p is false.

This means p=>q is true, irrespective of truth of q.

I hope that it is clear now.

All the best.

Answer 5

n> 15

Answer 6

if n<15 then 4n-8<52 so no counter

Answer 7

4n - 8 > 52

4n - 8 + 8 > 52 + 8

4n > 60

4n /4 > 60 / 4

n > 15

The answer is n > 15

- - - - - -s-

Answer 8

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Answer 9

4n - 8 > 52
4n > 60
n > 15

Therefore, for this inequality to be true, n must be greater than 15.

Answer 10

There is no counter example for that equation. Variable n is indeed greater than 15.