MATH CALCULATOR
Absolute Value Inequalities Calculator
Solve absolute value inequalities with our calculator for quick and accurate results.
What is the Absolute Value Inequalities Calculator & How does it work?
An absolute value inequality involves an expression with the absolute value of a variable, such as |x| < 5. The solution to these inequalities depends on whether the inequality is less than or greater than a certain number.
For example, if you have |x| < 5, this means that x can be any value between -5 and 5 (not including -5 and 5). Conversely, if you have |x| > 5, then x must be less than -5 or greater than 5.
The solution to |x| < a is -a < x < a.
For example, if you have |x| < 5, this means that x can be any value between -5 and 5 (not including -5 and 5). Conversely, if you have |x| > 5, then x must be less than -5 or greater than 5.
|x| < a
a = positive number
Parameters
Result—
Frequently Asked Questions
How do I solve |x| < 5?
The solution is -5 < x < 5.
What does |x| > 3 mean?
It means x is less than -3 or greater than 3.
Can you explain how to solve |2x - 1| < 7?
First, solve the two inequalities: 2x - 1 < 7 and 2x - 1 > -7. The solution is -3 < x < 4.
How do I input |x + 2| > 8 into the calculator?
Enter the inequality as 'abs(x + 2) > 8' and solve for x.
What is the solution to |3x - 4| <= 10?
The solution is -2 <= x <= 6.
How do I interpret the result of |x| < a?
It means x can be any value between -a and a, not including -a and a.
Can this calculator handle complex absolute value inequalities?
Yes, it can solve various forms of absolute value inequalities, including those with multiple variables or nested expressions.
Results are for informational purposes only and do not constitute professional advice.