Math

Question Find the solution set for the equation x=2xx=2x with the given domain x:{0,1,2,3}x:\{0,1,2,3\}.

Studdy Solution

STEP 1

Assumptions1. The equation is x=xx=x . The domain of xx is {0,1,,3}\{0,1,,3\}

STEP 2

First, we need to simplify the equation. We can do this by subtracting xx from both sides of the equation.
xx=2xxx - x =2x - x

STEP 3

implify the equation.
0=x0 = x

STEP 4

Now that we have the simplified equation, we can find the solution set by checking which values from the domain satisfy the equation.The solution set is {x{0,1,2,3}0=x}\{x \in \{0,1,2,3\}0 = x\}

STEP 5

Check each value from the domain.
For x=0x=0, the equation is satisfied because 0=00=0.
For x=1x=1, the equation is not satisfied because 010 \neq1.
For x=2x=2, the equation is not satisfied because 020 \neq2.
For x=3x=3, the equation is not satisfied because 030 \neq3.

STEP 6

From the above checks, we can see that only x=0x=0 satisfies the equation. Therefore, the solution set is {0}\{0\}.
The solution set is {0}\{0\}.

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