How do you rewrite an absolute value inequality as a compound

You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. … When solving an absolute value inequality it’s necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.

What is an absolute value inequality?

An absolute value inequality is an expression with absolute functions as well as inequality signs. For example, the expression |x + 3| > 1 is an absolute value inequality containing a greater than symbol. … These are less than (<), greater than (>), less than or equal (≤), and greater than or equal (≥).

How do you write an absolute value statement?

Absolute Value Examples and Equations 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. |6| = 6 means “the absolute value of 6 is 6.” |–6| = 6 means “the absolute value of –6 is 6.”

How do you write an inequality with two points?

You will use these to calculate the inequality. Figure out the slope of the inequality line using the points on your inequality line. Use the formula m = (y2 – y1) / (x2 – x1), in which “m” is the slope and (x1, y1) and (x2, y2) are points on the line. In the example, m = (1 – 0) / (2 – 0) = 1/2.