Solve and Graph Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

What is the difference between '<' and '≤'?

Back

'< ' means less than, while '≤' means less than or equal to.

Front

When solving an inequality, when do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

How do you graph the solution of an inequality on a number line?

Back

You use an open dot for '>' or '<' and a closed dot for '≥' or '≤'. Then, shade the region that represents the solution.

Front

What does the solution x > -6 represent on a number line?

Back

It represents all numbers greater than -6, starting from -6 and extending to the right.

Front

What does the solution m > -2 represent on a number line?

Back

It represents all numbers greater than -2, starting from -2 and extending to the right.

Front

What does it mean if a dot is colored in on a number line?

Back

A colored-in dot indicates that the endpoint is included in the solution, meaning the value is part of the solution set.

Front

What does the solution x ≤ -1 represent on a number line?

Back

It represents all numbers less than or equal to -1, starting from -1 and extending to the left.