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.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 5 means x is less than or equal to 5.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥'. For example, if a student needs at least 70 points, it can be written as x ≥ 70.

Front

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

Back

'Fewer than' is represented by the symbol '<'. For example, if a student lost fewer than 9 points, it can be written as p < 9.

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 is the difference between solving an equation and solving an inequality?

Back

When solving an inequality, if you multiply or divide by a negative number, you must reverse the inequality sign.

Front

How do you write an inequality for 'no more than'?

Back

'No more than' is represented by the symbol '≤'. For example, if a height limit is no more than 62 inches, it can be written as h ≤ 62.