Solving and Graphing One-Step Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 10 means x is less than 10.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 8 means x is less than or equal to 8.

Front

How do you solve the inequality 15 > -5 + z?

Back

To solve, add 5 to both sides: 20 > z or z < 20.

Front

What is the inequality that represents the situation: The room can hold a maximum of 400 people, and there are already 134 people?

Back

The inequality is x + 134 ≤ 400.

Front

If 7n > 49, what is the value of n?

Back

To solve, divide both sides by 7: n > 7.

Front

If k ÷ 8 = 4, what is the value of k?

Back

To solve, multiply both sides by 8: k = 32.

Front

What is the solution to the inequality x - 134 < 400?

Back

Add 134 to both sides: x < 534.