Question

Set the expression inside the absolute value ∣2x−1∣=7 and ∣2x−1∣=−7.

Answer 1

To solve the equation ∣2x−1∣=7, set the expression inside the absolute value equal to both positive and negative 7 and solve for x. There are no solutions for the equation ∣2x−1∣=−7.

Step-by-step explanation:

The given question involves solving absolute value equations. Absolute value is a mathematical function that gives the distance of a number from zero. When solving ∣2x−1∣=7, we set the expression inside the absolute value equal to both positive and negative 7, and solve for x. For ∣2x−1∣=−7, there are no solutions because the absolute value cannot be negative.