Rewrite expression without absolute value bars. |5−13|

Question

Rewrite expression without absolute value bars.  |5−13|

smallq9 · Accepted Answer

Step 1 the given expression is: |5−13| we have to rewrite the given expression without absolute value bars. as we know that: x―={xifx≥0−xifx&amp;lt;0 Step 2 as we can see that 5&amp;lt;13 therefore, 5−13&amp;lt;0 and we know that |x|=−x if x&amp;lt;0 therefore, |5−13|=−(5−13) therefore, |5−13|=−(5−13)=13−5 therefore the value of the given expression |5−13| without absolute value bars is 13−5

Jazz Frenia · Accepted Answer

Answer:|5−13|={5−13if&amp;nbsp;5−13≥0−(5−13)if&amp;nbsp;5−13&amp;lt;0Explanation:Case 1: Expression inside the absolute value is positiveWhen 5−13 is positive, we can remove the absolute value bars without changing the expression. Therefore, the expression becomes:5−13Case 2: Expression inside the absolute value is negativeWhen 5−13 is negative, we need to negate the expression inside the absolute value. Thus, the expression becomes:−(5−13)Combining both cases, the rewritten expression without absolute value bars is:|5−13|={5−13if&amp;nbsp;5−13≥0−(5−13)if&amp;nbsp;5−13&amp;lt;0

Andre BalkonE · Accepted Answer

To rewrite the expression without absolute value bars, we can consider two cases: when

\sqrt{5} - 13

is positive and when it is negative.
Case 1:

\sqrt{5} - 13

is positive
In this case, we can simply remove the absolute value bars. Therefore, the expression becomes:

\sqrt{5} - 13

Case 2:

\sqrt{5} - 13

is negative
When

\sqrt{5} - 13

is negative, we need to negate the expression inside the absolute value bars. Thus, the expression becomes:

- (\sqrt{5} - 13)

Hence, the rewritten expression without absolute value bars is:

| \sqrt{5} - 13 | = {\begin{matrix} \sqrt{5} - 13 & if \sqrt{5} - 13 \geq 0 \\ - (\sqrt{5} - 13) & if \sqrt{5} - 13 < 0 \end{matrix}

Rewrite expression without absolute value bars. abs(sqrt 5-13)

Answered question

Answer & Explanation

New Questions in Algebra I