Inequality Solutions

Front

What does it mean for a point to be part of the solution to an inequality?

Back

A point is part of the solution to an inequality if it satisfies the inequality, meaning it lies in the region defined by the inequality.

Front

What is the significance of a solid line in graphing inequalities?

Back

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

Tags

CCSS.HSA.REI.D.12

Front

What does a dotted line represent in the context of inequalities?

Back

A dotted line indicates that points on the line are not included in the solution set of the inequality.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine the slope of a line in a graph?

Back

The slope of a line is determined by the ratio of the vertical change to the horizontal change between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Tags

CCSS.6.EE.B.8

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the appropriate region based on the inequality sign.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a point lies above a line in a graph of an inequality?

Back

If a point lies above the line, it typically means that it satisfies the inequality if the inequality is of the form y > mx + b.

Front

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

Back

'Greater than' (>) means the endpoint is not included (dotted line), while 'greater than or equal to' (≥) means the endpoint is included (solid line).

Tags

CCSS.6.EE.B.8

Front

What is a solution set in the context of inequalities?

Back

A solution set is the set of all values that satisfy the inequality.