One and Two Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

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 an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What is the first step in solving the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

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

Solve for x: 5x - 2 > 3

Back

x > 1.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

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

Back

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

Front

Solve the inequality: -4x + 8 ≤ 0

Back

x ≥ 2.

Front

What is the solution set for the inequality x + 5 > 10?

Back

x > 5.