Algebra Linear Inequality Review

Front

What does a solid line in a graph of an inequality indicate?

Back

It indicates that the inequality includes the boundary line, meaning the symbol has 'or equal to.'

Front

What is the standard form of a linear inequality for a budget of no more than $81, where breadsticks cost $7 and pizzas cost $13?

Back

7x + 13y ≤ 81

Front

How can you tell if an inequality will have a dashed line?

Back

It has a greater than (>) or less than (<) symbol, indicating that the boundary line is not included.

Front

What does the inequality y ≤ 2/5x + 1 represent in terms of graphing?

Back

It represents all points below or on the line y = 2/5x + 1.

Front

What is the difference between 'greater than' and 'greater than or equal to' in inequalities?

Back

'Greater than' (>) uses a dashed line, while 'greater than or equal to' (≥) uses a solid line.

Front

If x < -1, what does this mean in terms of the number line?

Back

It means that x can be any number less than -1, represented by a dashed line at -1.

Front

What is the graphical representation of the inequality y ≥ -2/5x + 1?

Back

It includes the area above the line y = -2/5x + 1, including the line itself.

Front

How do you convert a word problem into a linear inequality?

Back

Identify the variables, the relationship between them, and the constraints to form the inequality.

Front

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

Back

It means 'less than or equal to,' indicating that the value can be equal to the boundary.

Front

What is the significance of the slope in the inequality y ≤ 2/5x + 1?

Back

The slope (2/5) indicates the steepness of the line and the direction it rises or falls.