Classwork 1.5B: Write and Solve 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 total cost must be less than a certain amount?

Back

You can represent it using an inequality, such as x < total amount.

Front

If a DJ charges $125 per hour and $55 for an assistant, how would you write an inequality for total cost under $600?

Back

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

Front

How do you solve the inequality 15h ≥ 105?

Back

Divide both sides by 15: h ≥ 7.

Front

What is the first step to solve the inequality 125x + 55 < 600?

Back

Subtract 55 from both sides: 125x < 545.

Front

If Charles saves $5 each week and earns an extra $12, how do you write an inequality for saving at least $75?

Back

5w + 12 ≥ 75, where w is the number of weeks.

Front

What is the maximum number of sweaters Destiny can buy if she spends $75 on a coat and has $300 total?

Back

She can buy 22 sweaters, represented by the inequality 10s ≤ 225.

Front

How do you find the maximum number of hours Amanda can rent a bike for $27 with a $10 fee?

Back

Set up the inequality: 2h + 10 ≤ 27, then solve for h.