Equations and Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you write the inequality for 'A number s minus 2.4 is at least 8'?

Back

s - 2.4 ≥ 8

Front

What symbol is used to represent 'greater than or equal to'?

Back

≥

Front

What symbol is used to represent 'less than'?

Back

<

Front

When graphing the inequality x ≤ 3, what type of dot is used on the number line?

Back

A closed dot.

Front

What does the inequality x ≥ 3 mean?

Back

It means that x can be 3 or any number greater than 3.

Front

If an elevator has a maximum capacity of 500 pounds and the luggage weighs 200 pounds, what is the maximum weight allowable for passengers (p)?

Back

p ≤ 300

Front

What is the solution to the inequality 2x + 3 < 11?

Back

x < 4.

Front

What does the graph of x > 5 look like on a number line?

Back

An open dot at 5 and a line extending to the right.

Front

What is the difference between ≤ and < in inequalities?

Back

≤ includes the number itself, while < does not.