Math Problem Statement
mode x-1 mode > 0
Solution
The expression you provided seems to involve the absolute value function, typically denoted as . Let's interpret it as .
To solve the inequality :
-
The absolute value is defined as:
x-1 & \text{if } x-1 \geq 0 \\ -(x-1) & \text{if } x-1 < 0 \end{cases}$$ -
The absolute value is greater than 0 if . Therefore:
-
Solving for :
So, the solution to the inequality is:
Would you like more details or have any questions? Here are five questions you can ask:
- How do I solve absolute value equations?
- What is the difference between absolute value equations and inequalities?
- Can you provide examples of solving compound inequalities?
- How do I graph absolute value functions?
- What are some real-world applications of absolute value inequalities?
Tip: When solving absolute value inequalities, always consider the two cases (positive and negative) and combine the solutions appropriately.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Absolute Value
Inequalities
Formulas
Absolute Value definition: |x-1| = { x-1 if x >= 1, -(x-1) if x < 1 }
Theorems
-
Suitable Grade Level
Grades 9-12