1.solve the equation. check for extraneous solutions.
|2z - 3| = 4z -1

2. solve each inequality. graph the solutions.
|3x -4| + 5 < (or equal to) 27

Absolute value equalitiy entered
      |2z-3| = 4z-1 

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 |2z-3|

 For the Negative case we'll use -(2z-3) 

For the Positive case we'll use (2z-3) 

      -(2z-3) = 4z-1 

     Multiply
      -2z+3 = 4z-1 

     Rearrange and Add up
      -6z = -4 

     Divide both sides by 6 
      -z = -(2/3) 

     Multiply both sides by (-1) 
      z = (2/3) 
     Which is the solution for the Negative Case

      (2z-3) = 4z-1 

     Rearrange and Add up
      -2z = 2 

     Divide both sides by 2 
      -z = 1 

     Multiply both sides by (-1) 
      z = -1 
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

 z=2/3
 z=-1

2. -6 < x < 26/3

Absolute value inequalitiy entered
      |3x-4|+5 < 27 

Another term is moved / added to the right hand side.

      |3x-4| < 22 

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 |3x-4|

 For the Negative case we'll use -(3x-4) 

For the Positive case we'll use (3x-4) 

      -(3x-4) < 22 

     Multiply
      -3x+4 < 22 

     Rearrange and Add up
      -3x < 18 

     Divide both sides by 3 
      -x < 6 

     Multiply both sides by (-1) 
     Remember to flip the inequality sign 
      x > -6 
     Which is the solution for the Negative Case

      (3x-4) < 22 

     Rearrange and Add up
      3x < 26 

     Divide both sides by 3 
      x < (26/3) 

     Which is the solution for the Positive Case

    -6 < x < 26/3

    (-6,26/3) 

answer: kljdcdhjbdlchjad oac apoich a

step-by-step explanation:

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.