Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the inequality:
|3x – 5| > 10
Solve the inequality.
Solution:
In order to solve the inequality, we must first get rid of the absolute value sign. The absolute value of the number, simply refers to its positive value, hence the absolute value of a negative number is equal to its positive value.
|3x – 5| > 10
3x + 5 > 10
Transpose 5 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
3x > 10 - 5
3x > 5
Divide both sides by 3 in order to determine the value of x.
3x/3 > 5/3
x > 5/3
Final answer:
x > 5/3