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

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 $6 for shoes and $8 per game, how would you express the total cost for 'x' games?

Back

The total cost can be expressed as 6 + 8x.

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

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

Back

Subtract 6 from both sides to get 8x ≤ 36, then divide by 8 to find x ≤ 4.5.

Front

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

Back

It means to round up to the nearest whole number of hours.

Front

How can you express the relationship between savings and time in an inequality?

Back

You can express it as savings per week multiplied by the number of weeks plus any additional income must be greater than or equal to the target savings.

Front

What is the inequality for a situation where a jacket costs $20 more than 3 times the price of a skirt?

Back

The inequality can be expressed as 3x + 20 ≤ total budget.

Front

How do you represent the maximum weight limit of a bridge in an inequality?

Back

You can represent it as the total weight currently on the bridge plus the weight of additional people must be less than or equal to the bridge's weight limit.