10.18 Writing Inequalities from Word Problems

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, or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than'. For example, if x > 5, then x is any number greater than 5.

Front

What does the symbol '<' represent in inequalities?

Back

'<'' means 'less than'. For example, if y < 10, then y is any number less than 10.

Front

What does the symbol '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to'. For example, if z ≥ 3, then z can be 3 or any number greater than 3.

Front

What does the symbol '≤' represent in inequalities?

Back

'≤' means 'less than or equal to'. For example, if w ≤ 8, then w can be 8 or any number less than 8.

Front

How do you write an inequality from a word problem?

Back

Identify the key quantities and relationships in the problem, then express them using inequality symbols based on the context.

Front

If Joan needs $100 and has $10 already, how do you express the amount she needs to earn?

Back

Let x be the hours she babysits. The inequality is 5x + 10 ≥ 100.

Front

What is the solution to the inequality 5x + 10 ≥ 100?

Back

To solve, subtract 10 from both sides: 5x ≥ 90, then divide by 5: x ≥ 18.

Front

If m > 17, what are some possible values for m?

Back

Any number greater than 17, such as 18, 19, 20, or 23.

Front

What is a solution to the inequality s ≤ 35?

Back

Any number less than or equal to 35, such as 25, 30, or 35.