Solve absolute value inequality : 12<|-2x+\frac{6}{7}|+\frac{3}{7}

Danelle Albright

Danelle Albright

Answered question

2021-12-10

Solve absolute value inequality : 12<|2x+67|+37

Answer & Explanation

Lakisha Archer

Lakisha Archer

Beginner2021-12-11Added 39 answers

Step 1
Given: 12<|2x+67|+37
for solving given inequality, we use transportation
Step 2
so,
12<|2x+67|+37
1237<|2x+67|
12(7)37<|2x+67|
8437<|2x+67|
817<|2x+67|
we know that
if, |x|>a then x<-a or x>a
Step 3
similarly,
2x+67<817 or 2x+67>817
2x>67+817 or 2x<67817
2x>6+817 or 2x<6817
2x>877 or 2x<757
x>8714 or x<7514
hence, solution of given inequality is x(,7514)(8714,).

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