Inequalities Word Problems

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'. It indicates that one value is either less than or equal to another value.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you represent 'no more than 20 dollars' in inequality form?

Back

This can be represented as x ≤ 20.

Front

If x > 10, what can you say about the value of x?

Back

The value of x is greater than 10.

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 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

What does the solution x ≥ 5 represent?

Back

It represents all values of x that are greater than or equal to 5.

Front

In the context of word problems, what does 'at least' indicate?

Back

'At least' indicates a minimum value, which is represented by a '≥' inequality.

Front

How would you express 'the total cost must be under $600' mathematically?

Back

This can be expressed as 125x + 55 < 600.