Exploring the 10C Graph System of Inequalities

What is a system of inequalities?

• A single inequality

• Two or more inequalities graphed together

• A set of equations

• A single equation

What do we call the set of points that satisfy both inequalities in a system?

• Graph set

• Solution set

• Intersection set

• Union set

What is the first step in graphing a system of inequalities?

• Shade the region

• Find the intersection

• Solve each inequality for y

• Draw the axes

When graphing an inequality with a 'greater than' symbol, what type of line should be used?

• Bold line

• Dotted line

• Dashed line

• Solid line

In the first system, what is the slope (m) of the first inequality?

• 2

• 0

• -1

• 1

For the second inequality in the first system, what is the y-intercept (b)?

• 1

• 5

• -1

• -5

What is the slope (m) of the first inequality in the second system?

• 4

• -4

• -1/4

• 1/4

In the second system, what type of line is used for the inequality with a 'less than or equal to' symbol?

• Bold line

• Solid line

• Dotted line

• Dashed line

For the third system, what is the y-intercept (b) of the first inequality?

• 5

• -5

• -7

• 7

In the third system, what is the slope (m) of the second inequality?

• 2

• -1

• -2

• 1