HA: 1.inequalities in one variable

Front

What is an inequality?

Back

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

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

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 or equal to'. For example, x ≤ 5 means x can be any number less than or equal to 5.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x can be any number greater than or equal to 5.

Front

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

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign to maintain the truth of the statement.

Front

How do you represent a situation where a person has a limited amount of money using an inequality?

Back

You can represent it by setting up an inequality that shows the total cost must be less than or equal to the amount of money available.

Front

If Cameron has $42 to spend on bowling, and the cost is $6 for shoes and $8 per game, how do you set up the inequality?

Back

Let g be the number of games. The inequality is: 6 + 8g ≤ 42.

Front

How do you solve the inequality 6 + 8g ≤ 42?

Back

Subtract 6 from both sides: 8g ≤ 36. Then divide by 8: g ≤ 4.5. Since g must be a whole number, the maximum is 4.

Front

What is the solution to the inequality x > 2?

Back

The solution includes all numbers greater than 2, represented on a number line with an open circle at 2.