vestirme4
2020-11-08
Answered

Write an absolute value equation that has solutions of -3 and 11.

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Nola Robson

Answered 2020-11-09
Author has **94** answers

Step 1

The absolute value equation has solution of -3 is,

$|x+3|=0$

Now the solution is.

$|x+3|=0$

$-(x+3)=0\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x+3=0$

$-x-3=0\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x=-3$

$-x=3\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x=-3$

$x=-3\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x=-3$

In both case the solution is -3

Step 2

The absolute value equation has solution of 11 is,

$|x-11|=0$

Now the solution is.

$|x-11|=0$

$-(x-11)=0\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x-11=0$

$-x+11=0\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x=11$

$-x=-11\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x=11$

$x=11\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}x=11$

In both case the solution is 11.

The absolute value equation has solution of -3 is,

Now the solution is.

In both case the solution is -3

Step 2

The absolute value equation has solution of 11 is,

Now the solution is.

In both case the solution is 11.

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