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4. which of the following answer choices shows the negation of the stat…

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

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

Answer:

D. \( 2 + 3
eq 8 \) (assuming the last option is D; if options are labeled differently, adjust the label but keep the expression \( 2 + 3
eq 8 \))