Inequalities from 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

How do you represent 'more than' in an inequality?

Back

'More than' is represented by the symbol '>'.

Front

How do you represent 'less than or equal to' in an inequality?

Back

'Less than or equal to' is represented by the symbol '≤'.

Front

What does the inequality x + 5 < 10 represent?

Back

It represents that the sum of a number x and 5 is less than 10.

Front

How do you solve the inequality 5x + 4 ≥ 19?

Back

Subtract 4 from both sides to get 5x ≥ 15, then divide by 5 to find x ≥ 3.

Front

What is the first step in solving the inequality 125x + 55 < 600?

Back

Subtract 55 from both sides to isolate the term with x.

Front

What does the inequality x ÷ 2 > 20 mean?

Back

It means that when a number x is divided by 2, the result is greater than 20.

Front

How do you express 'the product of a number and 5 is at least 19' in inequality form?

Back

It can be expressed as 5x ≥ 19.

Front

What is the solution to the inequality x + 5 < 10?

Back

Subtract 5 from both sides to find x < 5.

Front

What does the inequality 2x > 20 imply about x?

Back

It implies that x is greater than 10 after dividing both sides by 2.