Dec 06_Systems of Inequalities

Front

If the inequality symbol is < or ≤, you shade ________.

Back

below.

Front

Which point below is NOT part of the solution set? (0, 0), (5, 1), (-1, -3), (20, -5)

Back

(-1, -3)

Front

Solve the system of inequalities by graphing: y < 2x + 1 and y > -x + 3.

Back

Graph the lines y = 2x + 1 and y = -x + 3, shade the appropriate regions.

Front

Select the graph for 5x + y ≤ -1.

Back

Graph D.

Front

Which inequality describes this graph: a line with a slope of 3 passing through the point (0, -2) and shaded above?

Back

y > 3x - 2.

Front

What is a system of inequalities?

Back

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

Front

How do you graph a linear inequality?

Back

Graph the boundary line, use a dashed line for < or >, and a solid line for ≤ or ≥, then shade the appropriate region.

Front

What does it mean if a point is a solution to a system of inequalities?

Back

It means that the point satisfies all inequalities in the system.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included (≤ or ≥), while a dashed line indicates they are not included (< or >).

Front

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

Back

Substitute the point's coordinates into the inequality and check if the statement is true.