Classwork 1.5B: Write and Solve Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is larger or smaller than 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

How do you represent a situation where a person can spend at most a certain amount of money?

Back

You can represent this situation with an inequality where the total spending is less than or equal to the budget.

Front

If a person earns 'r' dollars per hour and wants to earn at least 't' dollars, how can this be expressed as an inequality?

Back

The inequality can be expressed as r * h ≥ t, where h is the number of hours worked.

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality sign.

Front

How do you solve the inequality 30 + s ≤ 45?

Back

To solve for s, subtract 30 from both sides: s ≤ 15.

Front

What does it mean to 'round to the next higher hour' in a work-related context?

Back

It means to round up the number of hours worked to the nearest whole number, regardless of the decimal.

Front

If Elisa has 40 lollipops and gives 2 to each student, how can we express the number of students as an inequality?

Back

Let s be the number of students. The inequality is 40 - 2s ≥ 7.

Front

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

Back

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

Front

How do you find the maximum number of items you can buy with a limited budget?

Back

Set up an inequality where the total cost of the items is less than or equal to the budget, then solve for the number of items.