The absolute value of 3 is 3. The absolute value of 0 is 0. The absolute value of −156 is 156.

The absolute value of an integer is the distance it has from 0 on the number line. And distance is a scalar quantity so it indicates no direction.

Absolute value of an integer is its numerical value without taking the sign into consideration. The absolute values of -9 = 9; the absolute value of 5 = 5 and so on.

Absolute value is the magnitude of a number irrespective of its sign. Hence if domain is real number for each absolute value there are two different numbers one can have with same absolute value.

The most common way to represent the absolute value of a number or expression is to surround it with the absolute value symbol: two vertical straight lines.

1. |6| = 6 means “the absolute value of 6 is 6.”
2. |–6| = 6 means “the absolute value of –6 is 6.”
3. |–2 – x| means “the absolute value of the expression –2 minus x.”

Here are the steps to follow when solving absolute value inequalities: Isolate the absolute value expression on the left side of the inequality….

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

We will be using the following 3-step process that can be used to solve any absolute value equation:

1. STEP ONE: Isolate the Absolute Value.
2. STEP TWO: Solve for Positive AND Solve for Negative.
3. STEP THREE: Check Your Answer.

Why did Josefina stop at Step 3? Absolute values cannot equal a negative number. This equation has no solution. For nitrogen to be a liquid, its temperature must be within 12.78 °F of -333.22 °F.

There are two solutions for |6+y|=2, -8 and -4. This is because |6+(-8)| and |6+(-4)| both equal 2. The absolute value is the distance to zero on a number line. If one were to graph the equation there would be a line with two different directions to determine distance from 0.

Summary. Absolute value equations are always solved with the same steps: isolate the absolute value term and then write equations based on the definition of the absolute value. There may end up being two solutions, one solution, or no solutions.

Write two equations without absolute values. The first equation will set the quantity inside the bars on the left side equal to the quantity inside the bars on the right side….

A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel. Infinite solutions.