Math Problem Statement
x-1 <4
Solution
To solve the inequality , follow these steps:
- Add 1 to both sides of the inequality to isolate on the left-hand side: Simplifying this gives:
The solution to the inequality is . This means that can be any number less than 5.
Would you like further details or have any questions about the steps?
Here are some related questions you might find interesting:
- What happens if we reverse the inequality sign, for example ?
- How do you solve a compound inequality like ?
- What would change if it were instead of ?
- How do you graph the solution on a number line?
- What if the inequality included an absolute value, like ?
Tip: When solving inequalities, always pay attention to how the inequality sign behaves, especially when multiplying or dividing by negative numbers!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Inequalities
Formulas
Inequality Solution Process: x - 1 < 4 -> x < 5
Theorems
Addition Property of Inequality
Suitable Grade Level
Grades 6-8