SOLUTION: solve An investor has decided to sell his shares of stock in the stock's price increases or decreases more than $14 from its present value of $73 per share. Write an absolute va

Algebra ->  Inequalities -> SOLUTION: solve An investor has decided to sell his shares of stock in the stock's price increases or decreases more than $14 from its present value of $73 per share. Write an absolute va      Log On


   



Question 997728: solve
An investor has decided to sell his shares of stock in the stock's price increases or decreases more than $14 from its present value of $73 per share. Write an absolute value inequality representing the price at which he should sell his shares. Then solve the inequality to state the range of prices.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
|x - 73| > 14

x represents the current price of the stock.

when (x-73) is positive, the equation becomes (x - 73) > 14 which results in x > 87.

this makes sense since 87 - 73 = 14.

when (x-73) is negative, the equation becomes (x - 73) < -14 (the inequality is reversed and the right side of the expression changes sign) which results in x < 59.

this makes sense since 73 - 59 = 14.

the inequality can be represented as x < 59 or x > 73

this means that you want to sell the stock when the price goes below 59 or the price goes above 87.