Absolute Value Equations Follow these steps to solve an absolute value equality which contains one absolute value:
Let's look at some examples. Example 1: Solve |2x - 1| + 3 = 6
Example 2: Solve |3x - 6| - 9 = -3
Example 3: Solve |5x + 4| + 10 = 2
Example 4: Solve |x - 7| = |2x - 2|
Example 5: Solve |x - 3| = |x + 2|
So the only solution to this problem is x = 1/2 Example 6: Solve |x - 3| = |3 - x|
Since 3 is included in the set of real numbers, we will just say that the solution to this equation is All Real Numbers What is the absolute value of 8?The absolute value of a positive number is positive. The absolute value of 8 is |8|, which equals 8. The absolute value of a negative number is positive. The absolute value of –8 is |–8|, which equals 8.
What is the absolute value of x =The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.
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