Solving the Inequality -2/3 12x - 6 ≤ 5x - 9: A Comprehensive Guide for SEO and Content Optimization

Welcome to this detailed guide on solving inequalities, specifically focusing on the problem -2/3 12x - 6 ≤ 5x - 9. This article is designed to provide a thorough explanation of the process, which is highly relevant for students, educators, and anyone interested in improving their understanding of algebraic inequalities for SEO and content marketing purposes.

What is an Inequality?

In mathematics, an inequality, like -2/3 12x - 6 ≤ 5x - 9, is a relationship between two expressions that are not equal. While equations seek to find the exact value of a variable, inequalities aim to find the set of possible values that satisfy the given condition. This understanding is crucial for any SEO or content strategy that targets academic and educational keywords.

Solving the Inequality -2/3 12x - 6 ≤ 5x - 9

The given inequality is:

-2/3 12x - 6 ≤ 5x - 9

Let's break down the steps to solve this inequality:

First, we need to isolate the terms involving x on one side and the constant terms on the other side. To do this, follow the steps: Start by subtracting 5x from both sides to get rid of the 5x on the right side: -2/3 12x - 5x - 6 ≤ -9 Now, combine like terms. To do this, you first need to multiply -2/3 by 12x: 12x - 5x - 6 ≤ -9 -8x - 6 ≤ -9 Next, add 6 to both sides to isolate the term with x: -8x - 6 6 ≤ -9 6 -8x ≤ -3 Finally, divide both sides by -8. Remember, when you divide or multiply an inequality by a negative number, you must reverse the inequality sign: -x ≥ 3/8 x ≤ -3/8

Thus, the solution to the inequality -2/3 12x - 6 ≤ 5x - 9 is x ≤ -3/8.

SEO and Content Optimization Tips

For effective SEO and content optimization, ensure that your content:

Uses keywords naturally and semantically. Includes a clear title and meta description that accurately represent the content. Contains high-quality, informative, and relevant content that is easy to read and understand. Incorporates headings (H1, H2, H3 etc.) to structure the content and improve readability. Balances internal and external linking to other relevant pages on your site and trusted resources.

By following these SEO tips and the steps provided in solving inequalities, you can create high-ranking, informative content that attracts and engages your target audience.