Solving Absolute Value Equations: A Basic Introduction to Algebra

✨ The absolute value always produces a positive result.

🔢 The absolute value of a number can be the number itself or its opposite.

📝 Absolute value equations can be solved by considering both positive and negative solutions.

🔑 To solve absolute value equations, you need to write two equations: one with the positive value and another with the negative value.

🔍 By solving both equations, we can find the solutions for the variable x.

✨ In the examples given, the solutions for x are 7 and -11, and 3 and 4, respectively.

Absolute value equations involve the absolute value function.

Solving absolute value equations involves checking the equation for different values of x.

Absolute value equations can sometimes have no solution.

⭐ Absolute value equations can only equal zero or a positive number.

✏️ To solve absolute value equations, isolate the absolute value function and write two separate equations.

🔢 Solving for x in the given example, x can be equal to four or negative two.

🔍 Solving absolute value equations involves finding the value(s) that make the equation true.

✏️ To solve absolute value equations, isolate the absolute value expression and solve for both the positive and negative cases.

✅ Check the solution(s) obtained by substituting the value(s) back into the original equation.