Math Problem Statement

x-1 <4

Solution

To solve the inequality x1<4x - 1 < 4, follow these steps:

  1. Add 1 to both sides of the inequality to isolate xx on the left-hand side: x1+1<4+1x - 1 + 1 < 4 + 1 Simplifying this gives: x<5x < 5

The solution to the inequality is x<5x < 5. This means that xx 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:

  1. What happens if we reverse the inequality sign, for example x1>4x - 1 > 4?
  2. How do you solve a compound inequality like 3<x1<53 < x - 1 < 5?
  3. What would change if it were x14x - 1 \leq 4 instead of x1<4x - 1 < 4?
  4. How do you graph the solution x<5x < 5 on a number line?
  5. What if the inequality included an absolute value, like x1<4|x - 1| < 4?

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