Question
\( \mid \leftarrow \quad \) Write the expression without using absolute-value notation. \( |a-15| \) if \( \mathrm{a}<15 \) The answer is \( \square \). (Type an expression. Simplify your answer.)
Ask by Stewart Savage. in Saudi Arabia
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(15 - a\)
Solution
When \( a < 15 \), the absolute value expression \( |a - 15| \) can be rewritten without absolute-value notation as:
\[ 15 - a \]
**Answer:** \(15 - a\)
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The Deep Dive
When \( a < 15 \), the expression \( |a - 15| \) can be rewritten without absolute-value notation as \( 15 - a \). This is because the absolute value notation indicates that we take the positive form of the expression, and when \( a \) is less than 15, \( a - 15 \) will yield a negative result, thus flipping the sign gives us \( 15 - a \). So, the answer is \( 15 - a \).