Question

P: x – 5 =10 q: 4x + 1 = 61 Which is the inverse of p → q?

Answer 1

The inverse is b.  If 4x+1 .NE. 61, then x-5 .NE.10

Answer 2

Answer:  the correct option is

(a) If x – 5 ≠ 10, then 4x + 1 ≠ 61.

Step-by-step explanation:  We are given to select the correct inverse of the conditional statement p → q if

p : x – 5 =10  and  q : 4x + 1 = 61.

We know that

the inverse of a conditional statement p → q is given by "not p → not q".

Therefore, the inverse of the given statement is

not p → not q

that is, if  x – 5 ≠ 10, then 4x + 1 ≠ 61.

Thus, the required inverse is " x – 5 ≠ 10, then 4x + 1 ≠ 61."

Option (a) is CORRECT.