One variable inequality word problems

Front

What is a one-variable inequality?

Back

A one-variable inequality is a mathematical statement that compares a single variable to a number using inequality symbols such as <, >, ≤, or ≥.

Front

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

Back

'≥' means 'greater than or equal to'. It indicates that the value of the variable can be either greater than or equal to a specified number.

Front

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

Back

'≤' means 'less than or equal to'. It indicates that the value of the variable can be either less than or equal to a specified number.

Front

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

Back

You use the '≥' symbol. For example, if a variable x must be at least 16, you write x ≥ 16.

Front

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

Back

You use the '≤' symbol. For example, if a variable x must be no more than 40, you write x ≤ 40.

Front

What is the first step in solving a one-variable inequality word problem?

Back

Identify the variable and what it represents in the context of the problem.

Front

In the problem 'Griffin earns a weekly salary of $300 and a commission of 4% on sales. What is the minimum sales amount for a total pay of at least $550?', how do you set up the inequality?

Back

You set up the inequality as 0.04x + 300 ≥ 550, where x is the sales amount.

Front

What does the solution to a one-variable inequality represent?

Back

The solution represents all possible values of the variable that satisfy the inequality.

Front

How can you graph a one-variable inequality on a number line?

Back

You use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction based on the inequality.

Front

What is the difference between '>' and '≥' in inequalities?

Back

'>' means strictly greater than, while '≥' means greater than or equal to.