Writing Linear Inequalities from word problems

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

How do you represent 'no more than' in an inequality?

Back

'No more than' is represented by the symbol ≤ in an inequality.

Front

Write an inequality for: 'There are no more than 18 students in the hall.'

Back

s ≤ 18

Front

What does the symbol ≥ mean?

Back

The symbol ≥ means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

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

Back

'At least' is represented by the symbol ≥ in an inequality.

Front

Write an inequality for: 'The school wants to sell at least $42 worth of tickets.'

Back

3s + 2c ≥ 42

Front

What is the first step in writing an inequality from a word problem?

Back

Identify the variables that represent the quantities involved in the problem.

Front

In the problem, 'Damian can spend no more than $40', what does 'no more than' indicate?

Back

It indicates that the total amount spent must be less than or equal to $40, represented as ≤.

Front

Write an inequality for: 'You and your friend have $14 to spend on snacks.'

Back

2d + 1p ≤ 14