Writing Inequalities from Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing 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 an inequality from a word problem?

Back

Identify the quantities involved, determine the relationship between them, and express that relationship using inequality symbols.

Front

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

Back

The symbol '>' means 'greater than'.

Front

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

Back

The symbol '<' means 'less than'.

Front

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

Back

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

Front

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

Back

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

Front

In the problem, 'Tina's hair is 7 inches long and grows 0.5 inches a month. How many months will it take for her hair to be more than 20 inches long?' Write the inequality.

Back

0.5m + 7 > 20.

Front

In the problem, 'Ross and Chandler have $14 and spend $3.50 on sodas. Each taco costs $1.75. How many tacos can they buy?' Write the inequality.

Back

1.75t + 3.50 ≤ 14.

Front

In the problem, 'The seventh grade class needs to raise at least $1000 after renting a hall for $700. Each ticket costs $15. Write the inequality.'

Back

15t + 700 ≥ 1000.

Front

In the problem, 'Timothy has $50 and deposits $30 daily. How many days until he has at least $500?' Write the inequality.

Back

30d + 50 ≥ 500.