Solve the absolute value equation. Then graph the solution set.
Answer to Problem 15PT
Explanation of Solution
Given:
Equation:
Concept Used:
Absolute value equations are equations where the variable is within an absolute value operator, like
SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S) Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
Example:
Calculation:
Step 1: Write the absolute value Equation. | |
Step 2: Set two equation without absolute value bar. One is positive and another one is negative. | |
Step 3: Solve each equation separately.
Solutions of the absolute value equation
Graph:
Thus, the solutions of the absolute value equation
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