- #1
LindseyM2011
- 4
- 0
In equations dealing with absolute value sometimes the answer to the equation does not coorospond with the absolute value. Why is this?
An absolute value equation is an equation that contains an absolute value expression, which is a mathematical notation that represents the distance of a number from zero on a number line.
To solve an absolute value equation, you need to isolate the absolute value expression and then apply the property of absolute value, which states that the absolute value of a number is equal to the number itself if the number is positive, and the negative of the number if the number is negative.
Yes, an absolute value equation can have more than one solution. This is because the absolute value expression can result in two different values when evaluated, one positive and one negative, which can both satisfy the equation.
To graph an absolute value equation, you can plot points by substituting different values for the variable and then connecting the points with a line. Alternatively, you can use the transformation rules for absolute value functions to graph the equation.
Absolute value equations are commonly used in physics, engineering, and economics to model real-world situations such as distance, time, temperature, and profit. They can also be used to solve problems involving inequalities, such as determining the range of values that satisfy certain conditions.