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3 years ago

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

Mathematics

2 answers:

Lesechka [4]3 years ago

3 0

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

serious [3.7K]3 years ago

3 0

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.

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