Translating 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

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you translate the phrase 'The capacity of the elevator is 2000 pounds' into an inequality?

Back

x ≤ 2000.

Front

Translate the phrase 'The speed limit is 45 miles per hour' into an inequality.

Back

x ≤ 45.

Front

What does the inequality 'd ≥ 100' represent in a shopping scenario?

Back

It represents that a shopper must spend at least $100 to get a 25% discount.

Front

How do you express 'The distance from my mother to the remote control is less than 10 feet' using an inequality?

Back

d < 10.

Front

What does the inequality '7 > x' indicate?

Back

It indicates that 7 is greater than x.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.

Front

How can you represent a situation where a variable must be less than a certain value?

Back

You can use the '<' symbol in an inequality.