Solving 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 < 3 means x is 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 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 ≤ 7 means x is less than or equal to 7.

Front

How do you solve the inequality 23 < f + 12?

Back

Subtract 12 from both sides: 23 - 12 < f, which simplifies to f > 11.

Front

If a room can hold a maximum of 400 people and there are already 134 people, how do you represent this situation with an inequality?

Back

The inequality is x + 134 ≤ 400, where x is the number of additional people that can come.

Front

What are two solutions to the inequality x < 8?

Back

Two solutions could be 0.8 and 5.9, as both are less than 8.

Front

How do you graph the inequality 11 ≤ a?

Back

You would draw a number line, shade to the right of 11, and include a closed circle at 11 to indicate that 11 is included.

Front

What is the solution to the inequality x ≤ 6?

Back

The solution includes all numbers less than or equal to 6.