Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

solve the following inequality |2x-6|<10

Sagot :

Answer:

Absolute Value Inequality entered :      |2x-6|<10 

Step by step solution :STEP 1:Rearrange this Absolute Value InequalityAbsolute value inequalitiy entered      |2x-6| < 10 STEP 2:Clear the

Absolute Value BarsClear 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-6| For the Negative case we'll use -(2x-6) For the Positive case we'll use (2x-6) STEP 3:Solve the Negative Case      -(2x-6) < 10      Multiply      -2x+6 < 10      Rearrange and Add up      -2x < 4      Divide both sides by 2       -x < 2      Multiply both sides by (-1)      Remember to flip the inequality sign       x > -2    
  Which is the solution for the Negative Case

STEP 4:Solve the Positive Case      (2x-6) < 10      Rearrange and Add up      2x < 16      Divide both sides by 2       x < 8      Which is the solution for the Positive Case

STEP 5:Wrap up the solution    -2 < x < 8 Solution in Interval Notation    (-2,8) Solution on the Number Line

One solution was found :    -2 < x < 8

Step-by-step explanation:

mark me brainliest!!