Translate a real-world written description into an algebraic inequality in the form of x > a, x < a, x ≥ a or x ≤ a. Represent the inequality on a number line.

Given an equation or inequality and a specified set of integer values, determine which values make the equation or inequality true or false.

Inequalities are a special type of equation that can be thought of as “possibilities,” since they can have multiple correct answers. It's easiest to make sense of inequalities in real-world terms.

For example, Mika’s lemonade stand needs to sell at least 10 cups of lemonade each day in order to break even. Mika can sell any number of cups, as long as it is 10 or greater.

In a different example, let's say that Mika must sell more than 10 cups in order to break even.

This number line and inequality indicates that the number of cups could be 10, or could be any number of cups greater than 10.

This number line and inequality indicates that the number of cups must be a number greater than 10, but it cannot be equal to 10.

Think carefully about each situation given – are you looking for values greater than or less than a certain number?

Plotting a closed circle means that that value is included; an open circle means that it is not included.

To help remember the symbols and how they relate to the words and meanings, you can remember the “alligator goes after the bigger meal” or think of how the "less than" symbols look like “L,” as in “less than”