Respuesta :
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:
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