Solving Systems of Inequalities by Graphing

What is the initial step when graphing two inequalities in a system?

• Draw a dotted line for both inequalities

• Calculate the intersection points

• Immediately shade the entire graph

• Graph the first inequality starting at the y-intercept

What is the importance of the survey questions mentioned in the video?

• To distract from the main content

• To provide entertainment

• To graph more inequalities

• To test understanding of the video content

What does a positive slope indicate when graphing an inequality?

• Graph a solid line only

• Go up and to the right

• Start at a negative y-intercept

• Shade below the line

When is a dotted line used in graphing inequalities?

• When the inequality includes 'or equal to'

• When there is no 'or equal to' in the inequality

• Always in systems of inequalities

• Never in linear inequalities

What does the point (2,3) satisfy in a system of inequalities?

• Neither inequality

• Only the second inequality

• Only the first inequality

• Both inequalities

What does a solid line indicate when graphing an inequality?

• The line should always be ignored

• The line is not part of the solution

• The inequality does not include 'or equal to'

• The inequality includes 'or equal to'

How do you determine the solution to a system of inequalities?

• Where the lines intersect

• Where the shadings intersect

• Where there is no shading

• Where the y-intercepts are located

What indicates that there is no solution in a system of inequalities?

• When the lines are parallel

• When the shadings intersect

• When the shadings do not intersect

• When all points satisfy both inequalities

What should you do if unsure about which side of the line to shade?

• Test a point

• Shade both sides

• Ask a classmate

• Shade above the line

Why is practice emphasized at the end of the video?

• To prepare for upcoming exams

• To ensure understanding of graphing inequalities

• To fill class time

• To introduce new topics