Solving One-Step Inequality

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

Front

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

Back

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

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is any number less than or equal to 2.

Front

How do you solve the inequality x - 7 > -12?

Back

Add 7 to both sides: x > -5.

Front

When graphing the inequality x ≥ -8, what type of dot is used?

Back

A closed dot is used to indicate that -8 is included in the solution.

Front

How do you solve the inequality w + 4 ≤ -5?

Back

Subtract 4 from both sides: w ≤ -9.

Front

What is the solution to the inequality 11 ≤ a?

Back

This means that a can be any number greater than or equal to 11.

Front

How do you represent the inequality for the graph showing all numbers less than -8?

Back

The inequality is x < -8.