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

How do you write an inequality from a word problem?

Back

Identify the quantities involved, determine the relationship (greater than, less than, etc.), and express it using inequality symbols.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

In the context of inequalities, what does 'x + 5 > 10' represent?

Back

It represents that the value of x plus 5 is greater than 10.

Front

How can you solve the inequality '2x + 3 < 11'?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

What is the first step in writing an inequality from a word problem?

Back

Identify the key quantities and their relationships.

Front

If Cody’s Gym charges a $15 fee and $30 per month, how would you express the total cost after x months?

Back

Total cost = 15 + 30x.