How this calculation works
Find the open interval where an affine expression lies within a strict distance of zero.
THE FORMULA
|ax+b|<c means −c<ax+b<cA worked example
For |2x−3|<5 the endpoints are −1 and 4.
Good to know
The endpoints are excluded.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Find the open interval where an affine expression lies within a strict distance of zero.
The primary result is labeled “Solution interval”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The endpoints are excluded.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
For |2x−3|<5 the endpoints are −1 and 4.
Which rule does this calculator apply?
|ax+b|<c means −c<ax+b<c