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

Back

x ≤ 2000, where x represents the weight in pounds.

Front

Translate the phrase 'You will need to sell at least 200 tickets for the dance' into an inequality.

Back

x ≥ 200, where x represents the number of tickets sold.

Front

What does the phrase 'more than' indicate in terms of inequalities?

Back

The phrase 'more than' indicates a greater than inequality, represented by the symbol '>'.

Front

How would you express 'Mary’s points, m, totaled more than 41' as an inequality?

Back

m > 41.

Front

What is the inequality for keeping at least $10 in a bank account?

Back

x ≥ 10, where x represents the amount of money in the account.

Front

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

Back

x ≤ 45, where x represents the speed in miles per hour.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' is represented by '>' and does not include the value itself, while 'greater than or equal to' is represented by '≥' and includes the value.