Writing Inequalities from Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you write an inequality for 'four times a number increased by 7 is at least 19'?

Back

4x + 7 ≥ 19.

Front

What does the phrase 'at least' indicate in an inequality?

Back

The phrase 'at least' indicates that the value can be equal to or greater than a certain number.

Front

How do you represent 'Triniti wants to have at least $200 in her account' mathematically?

Back

500 - 25x ≥ 200.

Front

What does the phrase 'no more than' indicate in an inequality?

Back

The phrase 'no more than' indicates that the value cannot exceed a certain number, often represented with '≤'.

Front

How do you write an inequality for 'Daniel can spend no more than $40 at the fair'?

Back

1.50x + 10 ≤ 40.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you represent 'You must be no more than 62 inches tall to play on the playground'?

Back

k ≤ 62.

Front

What is the first step to solve the inequality 3p + 5.5 ≤ 10?

Back

Subtract 5.5 from both sides to isolate the term with p.