Inequalities 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, greater than or equal to, or less than or equal to the other.

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 budget?

Back

You can represent it using an inequality, where the total cost must be less than or equal to the budget.

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 Daniel can spend no more than $40, how would you express this mathematically?

Back

You would express this as an inequality: x ≤ 40, where x is the amount spent.

Front

What does the term 'variable' mean in mathematics?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value.

Front

How do you solve the inequality 1.50x + 10 ≤ 40?

Back

Subtract 10 from both sides to get 1.50x ≤ 30, then divide by 1.50 to find x ≤ 20.

Front

What is the significance of the solution to an inequality?

Back

The solution to an inequality represents all possible values of the variable that satisfy the condition.

Front

What does it mean if a variable is on one side of an inequality?

Back

It means that the value of the variable must satisfy the inequality condition when substituted back into the expression.

Front

How can you check if a solution to an inequality is correct?

Back

You can substitute the solution back into the original inequality to see if it holds true.