Inequality Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other. Common symbols include >, <, ≥, and ≤.

Front

How do you represent a situation where a person has a budget limit?

Back

You can represent it using an inequality. For example, if a person has a budget of $B and spends $S, the inequality would be S ≤ B.

Front

What does 'at most' mean in terms of inequalities?

Back

'At most' indicates a maximum limit, which translates to a 'less than or equal to' inequality (≤).

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation, while maintaining the direction of the inequality.

Front

What is the first step in solving a word problem involving inequalities?

Back

Identify the variables involved and translate the words into a mathematical inequality.

Front

If Ann has $8.50 to spend and buys a binder for $6.89, how do you express the remaining amount for pens?

Back

Let x be the number of pens. The inequality would be: 6.89 + 0.59x ≤ 8.50.

Front

What does the term 'greatest amount' imply in a word problem?

Back

It implies finding the maximum value that satisfies the given conditions, often represented by an inequality.

Front

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

Back

Set up an inequality based on the total cost of items and solve for the variable representing the number of items.

Front

What is the significance of the solution to an inequality in a word problem?

Back

The solution indicates the range of possible values that satisfy the conditions of the problem.

Front

How do you express a situation where you need to collect a minimum number of items?

Back

Use an inequality that states the number of items collected must be greater than or equal to the minimum required.