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

How do you represent a situation where a person needs to save money?

Back

You can represent it using an inequality, such as x + savings ≥ goal, where x is the amount saved.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality 5x + 10 ≥ 100?

Back

Subtract 10 from both sides: 5x ≥ 90. Then divide by 5: x ≥ 18.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

If Charles saves $5 each week and earns an extra $12, how can you express his total savings after x weeks?

Back

Total savings can be expressed as 5x + 12.

Front

What is the solution to the inequality 10.25h ≥ 550?

Back

To solve, divide both sides by 10.25: h ≥ 53.66, which rounds up to at least 54 hours.

Front

How do you write an inequality for a maximum spending limit?

Back

You can write it as cost ≤ maximum amount.

Front

What does the symbol '<' represent in an inequality?

Back

The symbol '<' means 'less than'.

Front

How can you represent the number of dogs Katie needs to walk to reach her goal?

Back

You can represent it with the inequality 25 + 12x ≥ 200.