Writing Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

How do you represent a situation where a total cost must be less than a certain amount?

Back

You can represent this situation with an inequality, such as 'cost < maximum amount'.

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality sign.

Front

If a DJ charges $125 per hour and $55 for an assistant, how would you express the total cost for x hours?

Back

The total cost can be expressed as 125x + 55.

Front

How do you write an inequality for a budget constraint?

Back

You write an inequality that represents the total cost being less than or equal to the budget, such as 'total cost ≤ budget'.

Front

What is the inequality for Carol's vegetable purchase if she wants to spend no more than $10?

Back

The inequality is 3p + 5.5 ≤ 10, where p is the number of pounds of vegetables.

Front

How do you determine the maximum number of items you can buy with a budget?

Back

Set up an inequality that represents the total cost of items being less than or equal to the budget, then solve for the number of items.

Front

What inequality represents Daniel's spending at the fair?

Back

The inequality is 1.50x + 10 ≤ 40, where x is the number of rides.