Question

Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion.

If x = 3, then 3x – 4 = 5.
x = 3

A. not possible
B. x = 3
C. If 3x – 4 = 5, then x = 3.
D. 3x – 4 = 5

Answer 1

A it wouldnt be possible!!!!!!!

Answer 2

option (d) is correct.

Conclusion is statement : 3x – 4 = 5.

Explanation:

Given : The two statements

Statement If x = 3, then 3x – 4 = 5.

Conclusion x = 3

Law of detachment states that if two statements are true then third is also true and we can find it.

Statement 1: If p, then q.

Statement 2: p

then Conclusion: q

Here, p = x = 3 and q = 3x – 4 = 5.

then according to law of detachment Conclusion is statement q: 3x – 4 = 5.

Thus, option (d) is correct.