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Which sign makes the statement true?\newline−9.6 ? −923-9.6 \, ? \, -9 \frac{2}{3}\newlineChoices:\newline(A) ==\newline(B) ≠\neq

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Composition of linear and quadratic functions: find a valueright chevron icon

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Q. Which sign makes the statement true?\newline−9.6 ? −923-9.6 \, ? \, -9 \frac{2}{3}\newlineChoices:\newline(A) ==\newline(B) ≠\neq
  1. Convert to decimal: Convert −923-9\frac{2}{3} to a decimal to compare with −9.6-9.6.\newline−923=−9+(−23)=−9−0.6667≈−9.6667-9\frac{2}{3} = -9 + \left(-\frac{2}{3}\right) = -9 - 0.6667 \approx -9.6667
  2. Compare decimals: Compare −9.6-9.6 and −9.6667-9.6667.\newline−9.6-9.6 is greater than −9.6667-9.6667 because a number closer to zero on the negative scale is larger.
  3. Choose correct sign: Choose the correct sign based on comparison.\newlineSince −9.6-9.6 is greater, the correct sign is '>'.

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