$$ 1 \leftarrow \quad $$ Write the expression without using absolute-value notation. $$ \mathrm{a}-7 \mid \text { if } \mathrm{a}

Question

$$ 1 \leftarrow \quad $$ Write the expression without using absolute-value notation. $$ \mathrm{a}-7 \mid \text { if } \mathrm{a}<7 $$ The answer is $$ \square $$. (Type an expression. Simplify your answer.)

UpStudy AI · Accepted Answer

To rewrite the expression without using absolute-value notation, we need to consider the condition given: $$ a < 7 $$.

The absolute value function can be defined as follows:
- If $$ x < 0 $$, then $$ |x| = -x $$
- If $$ x \geq 0 $$, then $$ |x| = x $$

In this case, since we are given $$ a < 7 $$, we can express $$ |a - 7| $$ as:
$$
|a - 7| = -(a - 7) = -a + 7
$$

Thus, the expression without using absolute-value notation is:
$$
-a + 7
$$

So, the final answer is:
$$
-a + 7
$$
The expression without absolute-value notation is $$ -a + 7 $$.

\( 1 \leftarrow \quad \) Write the expression without using absolute-value notation. \[ \mathrm{a}-7 \mid \text { if } \mathrm{a}<7 \] The answer is \( \square \). (Type an expression. Simplify your answer.)

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