Chapter E, Problem 6.8EX

To determine

To find the inverse of “ If $x=3$ , then $x>0$ ”.

Answer to Problem 6.8EX

Option (b) If $x\ne 3$ , then $x\le 0$ , is correct.

Explanation of Solution

Given information: $x=3$ .

Options,

a. If $x>0$ , then $x=3$ .

b. If $x\ne 3$ , then $x\le 0$ .

c. If $x\le 0$ , then $x\ne 3$ .

d. If $x=3$ , then $x\le 0$ .

Calculation: The required solutions is obtained as,

Statement: if p , then q

Inverse: if not p , then not q

Inverse: if x is not equal to 3 then x is less than or equal to 0.

Therefore, option (b) If $x\ne 3$ , then $x\le 0$ , is correct.