Writing Inequalities from Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to.' It indicates that one value is either less than or equal to another value.

Front

How do you write an inequality from a word problem?

Back

Identify the quantities involved, determine the relationship between them, and use appropriate inequality symbols to express that relationship.

Front

What does the inequality 'x + 945 ≤ 1500' represent?

Back

It represents that the total weight of supplies (x) plus the weight of equipment (945 pounds) must be less than or equal to the elevator's weight limit (1500 pounds).

Front

If a person can spend no more than $40, how would you express this as an inequality?

Back

You would express this as 'x ≤ 40', where x represents the amount spent.

Front

What does the inequality '500 - 25x ≥ 200' represent in a word problem?

Back

It represents that after withdrawing $25 each week (x weeks), Triniti must have at least $200 left in her savings account.

Front

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

Back

Set up an inequality that represents the total cost of items and solve for the maximum number of items.

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

What does the inequality 'k ≤ 62' indicate about height restrictions?

Back

It indicates that a child's height (k) must be less than or equal to 62 inches to play on the playground.

Front

How can you represent a situation where you have a fixed amount of money and want to buy items?

Back

You can represent it with an inequality that combines the cost of items and the total amount of money available.