Linear Inequalities- 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

How do you represent a word problem as a linear inequality?

Back

Identify the quantities involved, determine the relationship between them, and express it using an inequality symbol.

Front

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

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

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

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality using inverse operations, similar to solving an equation.

Front

What is the difference between '>' and '≥'?

Back

'>' means strictly greater than, while '≥' means greater than or equal to.

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

In the context of word problems, what does 'no more than' indicate?

Back

'No more than' indicates a maximum value, which is represented by a '≤' inequality.

Front

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

Back

Substitute a value from the solution set back into the original inequality to see if it holds true.

Front

What is the first step in translating a word problem into a linear inequality?

Back

Identify the key quantities and their relationships described in the problem.