Linear Inequality Review

Front

What does a dashed line indicate in a linear inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set.

Front

What does a solid line indicate in a linear inequality?

Back

A solid line indicates that the points on the line are included in the solution set.

Front

In the inequality y < 2x + 3, where is the shading?

Back

The shading is below the line, indicating all points where y is less than 2x + 3.

Front

How do you determine if a point is a solution to a linear inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is a solution.

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

What does the inequality 5 ≥ x represent graphically?

Back

It represents all points to the left of and including the vertical line x = 5.

Front

What is the solution set of the inequality y > 3?

Back

The solution set includes all points above the horizontal line y = 3.

Front

How do you graph the inequality x < 2?

Back

Draw a dashed vertical line at x = 2 and shade to the left.

Front

What does it mean if a point lies on the boundary line of an inequality?

Back

If the line is solid, the point is included in the solution; if the line is dashed, it is not included.

Front

What is the graphical representation of the inequality y ≤ -x + 4?

Back

A solid line with shading below the line, indicating all points where y is less than or equal to -x + 4.