Question

Identify the inverse of the following statement. If x = 2, then x + 3 = 5.

a) If x + 3 = 5, then x = 2.
b) If x + 3 ≠ 5, then x ≠ 2.
c) If x ≠ 2, then x + 3 ≠mc011-4.jpg 5
d) x = 2 and x + 3 = 5.

Answer 1

Thats A. I Think
Hope This Right..

Answer 2

C

Explanation:

The inverse of a statement "If p then q" is the statement "if ¬p then ¬q". In our case p is "x=2" and q is "x+3=5". Moreover, the negations of p and q are "
`x \\eq 2`" and
`x+3 \\eq 5` respectively. Then, the inverse of the original statement is

`\text{if} \quad x\\eq 2 \quad \text{then} \quad x+3 \\eq 5`