Systems of Inequalities

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables.

Front

How do you determine which side of the boundary line to shade for the inequality y ≥ ?

Back

Shade above the line.

Front

What does the symbol '≥' indicate in an inequality?

Back

It indicates that the value is greater than or equal to.

Front

What is the boundary line for the inequality y < -x - 1?

Back

The boundary line is dashed because it is a 'less than' inequality.

Front

What does the solution to a system of inequalities represent?

Back

The region where the shaded areas of all inequalities overlap.

Front

How do you graph the inequality y > x + 4?

Back

Graph the line y = x + 4 as dashed and shade above it.

Front

What is the difference between 'less than' (<) and 'less than or equal to' (≤)?

Back

'Less than' does not include the boundary line, while 'less than or equal to' includes it.

Front

Which graph represents the inequality y ≥ -x - 1?

Back

The graph should show a solid line and shading above the line.

Front

What does the symbol '>' indicate in an inequality?

Back

It indicates that the value is greater than.

Front

How do you identify the correct graph for a system of inequalities?

Back

Look for the graph that shows the correct shading and boundary lines for all inequalities.