Solve the absolute value equation or indicate the equation has no solution: |2X-3|=11

Yasmin

Yasmin

Answered question

2021-05-11

Solve the absolute value equation or indicate the equation has no solution: |2X3|=11

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-05-12Added 110 answers

Step 1
Take into account the absolute value equation shown.
|2X3|=11
As we know that |x|=c is equivalent to x=c or x=c where x is an algebraic expression and c is a positive real number.
In order to write the given absolute value equation,
2x3=11 or 2x3=11
Step 2
now, solve both the equations,
2x3+3=11+32x3+3=11+3
2x=14 or 2x=8
x=7x=4
so the solution set is {4,7}.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-19Added 2605 answers

Answer is given below (on video)

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