Question

How many values of x will satisfy the equation |x-1| = | x+3|

Answer 1

The value of x that will satisfy the equation is x=-1.

We have given that,

$\left|x-1\right|=\left|x+3\right|$

We have to solve the above inequality

What is inequality?

Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions.

Find the positive and negative intervals

$x < -3,\:\:-3\le \:x < 1,\:\:x\ge \:1$

Solve the inequality for each interval

$x < -3,\:\:-3\le \:x < 1,\:\:x\ge \:1$

$\mathrm{No\:Solution}\quad \mathrm{or}\quad \:x=-1$

Therefore we get,

$x=-1$

To learn more about inequality visit:

brainly.com/question/24372553

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