### Solving InequalitiesThe inequality presented is:\[\frac{5}{4}x - 2 \leq \frac{3}{2}x + \frac{1}{3}\]This inequality involves fractions and requires solving for $x$. To solve this inequality, follow these steps:1. **Clear Fractions**: Multiply every term by the least common multiple (LCM) of the denominators to clear the fractions.2. **Combine Like Terms**: Bring all terms involving $x$ to one side and constant terms to the other.3. **Isolate $x$**: Simplify the inequality to solve for $x$.It is important to maintain the inequality direction when multiplying or dividing by positive numbers. If multiplying or dividing by a negative number, reverse the inequality sign.This process is a fundamental algebra skill that helps in understanding how to manipulate and solve inequality equations.

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Answered: Solving Inegualities

Math

Algebra

Solving Inegualities

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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