Question

Identify the conclusion of the statement.

If 2n-7 > 25, then n > 16

1- 2n-7 > 25
2- n > 16
3- 2n > 32
4- no conclusion can be made

Answer 1

2) n > 16

Explanation:

Usually, a statement is written as:

If P, then Q

Where P = hypothesis

Q = conclusion.

And our statement is:

if 2n - 7 > 25, then n > 16

(We can easily solve the inequality to get the thing in the right:

2n - 7 > 25

2n > 25 + 7 = 32

n > 32/2 = 16

n > 16 )

then:

P = (2n - 7)

Q = n > 16

Then the conclusion is: n > 16

The correct option is 2) n > 16