Makeup Absolute value equation FLASHCARD

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

x + 6 = 4 and x + 6 = -4.

26.

4.

{-1, -15}.

The general form is |A| = B, where A is an expression and B is a non-negative number.

To isolate the absolute value, add or subtract any constants from both sides of the equation.

It means that the expression inside the absolute value cannot equal the given value, typically when the right side is negative.

x - 3 = 5 and x - 3 = -5, leading to x = 8 and x = -2.

An absolute value function forms a V shape on the graph, with the vertex at the point where the expression inside the absolute value equals zero.