Writing 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 '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

How do you represent 'x is smaller than 9' in inequality form?

Back

x < 9

Front

If Daniel can spend no more than $40 at the fair, how would you express this situation as an inequality?

Back

1.50x + 10 ≤ 40, where x is the number of rides.

Front

What is the inequality for 'The band practice will be less than 45 minutes long'?

Back

p < 45

Front

How would you express 'Zach can spend at most $100 on new clothes' in inequality form?

Back

s ≤ 100

Front

What does the inequality 'x ≥ 3200' represent?

Back

It represents that the cost of a ski trip could be more than or equal to $3,200.

Front

What is the first step to solve the inequality 1.50x + 10 ≤ 40?

Back

Subtract 10 from both sides to isolate the term with x.

Front

What is the solution to the inequality 1.50x + 10 ≤ 40?

Back

x ≤ 20.