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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.8

Front

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

Back

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

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.5

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.