Solve the following inequality: |2x|<14 A. 7

x<7

Step-by-step explanation:

it just is

x > 7

 x < -7

Step-by-step explanation:

Absolute value inequalitiy entered

     |2x| > 14

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2x|

For the Negative case we'll use -(2x)  

For the Positive case we'll use (2x)

-(2x) > 14  

    Multiply

     -2x > 14  

    Divide both sides by 2

     -x > 7  

    Multiply both sides by (-1)

    Remember to flip the inequality sign

     x < -7  

    Which is the solution for the Negative Case

(2x) > 14  

    Divide both sides by 2

     x > 7  

    Which is the solution for the Positive Case

x < -7

 x > 7

(-∞,-7)

   (7,+∞)

45

step-by-step explanation:

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: