Given:
The equation is:

To find:
The error in the given equation and correct it.
Solution:
We have,

Taking left-hand side, we get

![[\because a^2-b^2=(a-b)(a+b)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D)
![[\because (ab)^x=a^xb^x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28ab%29%5Ex%3Da%5Exb%5Ex%5D)

It is not equal to right-hand side
. In the right hand side, there must be a negative sign instead of positive sign.
Therefore,
.
Maybe 200 dollars, 500 dollars and so on
Answer:
the solution for x will be given by {x| -13 < x < 13}
Therefore the correct option is B.
Step-by-step explanation:
i) given that |x| < 13
ii) therefore x < 13 for positive values of x
iii) for negative values of x we have -x < 13
therefore x > -13
iv) from ii) and iii) above we can conclude that the solution for x will be given by {x| -13 < x < 13}
Therefore the correct option is B.