Linear Inequalities

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 in a linear inequality?

Back

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

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean in a linear inequality?

Back

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

Tags

CCSS.6.EE.B.8

Front

When graphing a linear inequality with '≥' or '≤', what type of line is used?

Back

A solid line is used when graphing a linear inequality with '≥' or '≤' to indicate that points on the line are included in the solution.

Tags

CCSS.HSA.REI.D.12

Front

When graphing a linear inequality with '>' or '<', what type of line is used?

Back

A dashed line is used when graphing a linear inequality with '>' or '<' to indicate that points on the line are not included in the solution.

Tags

CCSS.HSA.REI.D.12

Front

How do you represent the inequality 'y < 3x' graphically?

Back

You would graph the line 'y = 3x' as a dashed line and shade below the line to represent all points where y is less than 3x.

Tags

CCSS.HSA.REI.D.12

Front

What is the solution set of the inequality 'y ≥ 2x + 1'?

Back

The solution set includes all points on or above the line represented by the equation 'y = 2x + 1'.

Tags

CCSS.HSA.REI.D.12

Front

What does the inequality 'y ≤ rac{1}{4}x + 2' represent graphically?

Back

It represents all points on or below the line 'y = rac{1}{4}x + 2', including the line itself.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if a point (x, y) is a solution to the inequality 'y > -x + 3'?

Back

Substitute the x and y values into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the significance of the boundary line in a linear inequality?

Back

The boundary line separates the solution set from the non-solution set; points on the line may or may not be included based on the inequality symbol.

Tags

CCSS.HSA.REI.D.12