Word Problems (Inequalities)

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 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you represent a situation where a quantity is limited to a maximum value?

Back

Use the '≤' symbol to indicate that the quantity cannot exceed the maximum value.

Front

How do you represent a situation where a quantity must meet a minimum requirement?

Back

Use the '≥' symbol to indicate that the quantity must be at least the minimum value.

Front

If Tyler has no more than $20, how would you express this as an inequality?

Back

x ≤ 20, where x is the amount of money Tyler has.

Front

Joan needs $100 for a calculator and earns $5 per hour babysitting. How do you express the hours she needs to work?

Back

5x + 10 ≥ 100, where x is the number of hours she babysits.

Front

What inequality represents the maximum number of players on a team if it can have up to 15 players?

Back

x < 15, where x is the number of players on the team.

Front

If a DJ charges $125 per hour and offers a $55 discount, how do you express the maximum hours he can play for under $600?

Back

125x - 55 < 600, where x is the number of hours.

Front

What inequality represents Katie's speed if the speed limit is 45 mph and she was initially going 30 mph?

Back

30 + s ≤ 45, where s is the amount she can speed up.