Writing Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' represent?

Back

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

Front

What does the symbol '≤' represent?

Back

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

Front

How do you write an inequality for a situation where a total must be at least a certain amount?

Back

You use the '≥' symbol to indicate that the total is greater than or equal to the specified amount.

Front

How do you write an inequality for a situation where a total must be no more than a certain amount?

Back

You use the '≤' symbol to indicate that the total is less than or equal to the specified amount.

Front

Write an inequality for the situation: 3 senior citizen tickets (s) and 2 child tickets (c) must total at least $42.

Back

Front

Write an inequality for the situation: You need to earn at least $85 from babysitting (b) and tutoring (m).

Back

Front

Write an inequality for the situation: You can spend no more than $800 on tickets for the lower deck (x) and upper deck (y).

Back

Front

What is the first step in solving a linear inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

What is the difference between solving an equation and solving an inequality?

Back

When solving an inequality, if you multiply or divide by a negative number, you must reverse the inequality sign.