Question

Solve: | 2x - 2 | = x + 1
Select the appropriate response
A) x=3,x=6
B) x=3, x=1/3
C) x=9

Can you help me with this, please?

Answer 1

The given expression is $|2 x-2|=x+1$

We need to determine the solution to the expression.

Solution:

The absolute value of the expression $|2 x-2|=x+1$ is given by

$2 x-2=x+1$ or $2 x-2=-(x+1)$

Let us solve the expression $2 x-2=x+1$

Thus, we get;

$x-2=1$

     $x=3$

Now, solving the expression $2 x-2=-(x+1)$

Thus, we get;

$2x-2=-x-1$

$3x-2=-1$

     $3x=1$

       $x=\frac{1}{3}$

Thus, the solution of the expression is $x=3$, $x=\frac{1}{3}$

Hence, Option B is the correct answer.