Graph the solution set of  ||5x−3||−6=−2x+12
 .

Here is the graph of the solution set for the equation \(\lvert 5x - 3 \rvert - 6 = -2x + 12\). The red dots on the number line represent the solutions at \(x = -5\) and \(x = 3\).

Would you like more details on this solution, or do you have any other questions?

Here are five related questions you might find interesting:
1. How would the graph change if the equation were \(\lvert 5x - 3 \rvert + 6 = -2x + 12\)?
2. What happens if you add a constant on both sides of the equation?
3. How can you solve inequalities involving absolute values, like \(\lvert 5x - 3 \rvert > -2x + 12\)?
4. What is the effect of squaring both sides of an equation containing absolute values?
5. How do you solve equations where the absolute value term is inside another function, like \(\lvert f(x) \rvert = g(x)\)?

**Tip:** When dealing with absolute value equations, always consider the possibility of two different cases, and ensure to check each solution in the original equation.

Graph the solution set of ||5x−3||−6=−2x+12.

Learn how to graph the solution set of the absolute value equation |5x−3|−6=−2x+12. This problem involves key algebraic concepts including absolute value properties and linear equation solutions. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation