Question

1. which of the following answer choices shows the negation of the statement below?

statement: $2 + 3 = 8$
$2 + 3 = 5$
$2 + 6 = 8$
$5 + 3 = 8$
$2 + 3 \
eq 8$

Explanation:

Step1: Recall Negation of Equality

The negation of a statement \( A = B \) is \( A
eq B \). Here, the statement is \( 2 + 3 = 8 \), so its negation should be \( 2 + 3
eq 8 \).

Step2: Analyze Options

• Option 1: \( 2 + 3 = 5 \) is a true statement but not the negation of \( 2 + 3 = 8 \).
• Option 2: \( 2 + 6 = 8 \) is a different equation, not a negation.
• Option 3: \( 5 + 3 = 8 \) is also a different equation, not a negation.
• Option 4: \( 2 + 3

eq 8 \) matches the negation of \( 2 + 3 = 8 \).

Answer:

D. \( 2 + 3
eq 8 \)