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FrozenT [24]
4 years ago
9

Solve for x: |x − 2| + 10 = 12

Mathematics
2 answers:
Sliva [168]4 years ago
5 0

Answer:

Option A is correct.

Values of x :

x = 0 and x  =4

Step-by-step explanation:

Absolute function states that contains an algebraic expression within absolute value symbols i,e

|x| = \left\{\begin{matrix}x & if x>0 \\ 0 & if x = 0\\ -x & if x< 0 \end{matrix}\right.

Given that: |x-2|+10=12              .....[1]

solve for x;

Subtract 10 from both sides in equation [1] we get;

|x-2|+10-10=12-10  

Simplify:

|x-2|=2  

By definition of Absolute;

(x-2) = 2 and -(x-2) = 2

or

x-2 =2   and x -2 = -2

we have;

x = 2+2  and  x= -2+2

x = 4   and x = 0

Therefore, the value of x are 4 and 0.

klio [65]4 years ago
3 0
<span>|x − 2| + 10 = 12

</span><span>|x − 2| =2
</span>x-2=+-2
x-2=2 and x-2=-2
x=4 and x=0
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