Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

12. which of the following answer choices shows the negation of the sta…

Question

  1. which of the following answer choices shows the negation of the statement below? statement: $2 + 3 = 8$ $2 + 3 \

eq 8$ $2 + 3 = 5$ $2 + 6 = 8$ $5 + 3 = 8$

Explanation:

Step1: Recall Negation of Equality

The negation of a statement \( a = b \) is \( a
eq b \), which means we are saying the two sides are not equal.

Step2: Apply to Given Statement

The given statement is \( 2 + 3 = 8 \). Its negation should be \( 2 + 3
eq 8 \), as this directly contradicts the equality by stating the left - hand side and right - hand side are not equal. The other options either give a different correct equality (\(2 + 3=5\)) or change the numbers in the addition (\(2 + 6 = 8\), \(5+3 = 8\)) which are not negations of the original statement \(2 + 3 = 8\).

Answer:

A. \(2 + 3
eq8\)