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 person has a limited amount of money to spend?

Back

You can represent it using an inequality where the total cost is less than or equal to the amount of money available.

Front

If a bowling alley charges $8 per game and $6 for shoe rental, how would you express the total cost for 'x' games?

Back

Total cost = 8x + 6.

Front

How do you solve the inequality 8x + 6 ≤ 42?

Back

Subtract 6 from both sides: 8x ≤ 36. Then divide by 8: x ≤ 4.5.

Front

What is the first step to solve the inequality 5x + 10 ≥ 100?

Back

Subtract 10 from both sides: 5x ≥ 90.

Front

What is the solution to the inequality 25 + 12x ≥ 200?

Back

Subtract 25 from both sides: 12x ≥ 175. Then divide by 12: x ≥ 14.58.

Front

How do you express a profit requirement in terms of an inequality?

Back

You can express it as profit per item sold multiplied by the number of items sold being greater than or equal to the required profit.

Front

If a store wants to make at least $5225 profit selling dog food at $5.50 per bag, how is this represented?

Back

5.50x ≥ 5225, where x is the number of bags sold.