One Step Inequality Review 12/13

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

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

How do you graph an inequality on a number line?

Back

To graph an inequality, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Front

What is the difference between < and ≤?

Back

< means 'less than' and does not include the endpoint, while ≤ means 'less than or equal to' and includes the endpoint.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

You must flip the inequality sign when multiplying or dividing both sides of an inequality by a negative number.

Front

Solve the inequality: n - 80 > -83. What is n?

Back

n > -3.

Front

What does the inequality x ≥ 3 mean?

Back

It means x can be 3 or any number greater than 3.

Front

If you have the inequality 2x < 10, what is the value of x?

Back

x < 5.

Front

What is the solution set for the inequality x > 4?

Back

The solution set includes all numbers greater than 4.

Front

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

Back

You draw a number line, place a dot at the solution, and shade in the direction of the solution.