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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.

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Answer:

C

Step-by-step 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 "[tex]x \neq 2[/tex]" and [tex]x+3 \neq 5[/tex] respectively. Then, the inverse of the original statement is

[tex]\text{if} \quad x\neq 2 \quad \text{then} \quad x+3 \neq 5[/tex]

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