Writing Systems of Inequalities from Graphs

Mr. Allen introduces systems of inequalities, focusing on writing inequalities from given graphs. He explains how to determine the slope and y-intercept for both solid and dashed lines, and how to decide whether to shade above or below the line. The video covers writing inequalities for horizontal and vertical lines, emphasizing the importance of understanding slope-intercept form. Mr. Allen concludes with encouragement and a call to action for viewers to like and subscribe.

What is the y-intercept of the first inequality's solid line?

• 2

• 4

• 1

• 3

What is the slope of the first inequality's solid line?

• 1

• 2

• 3

• 4

For the first inequality, are we shading above or below the line?

• Neither

• Below

• Both

• Above

What is the y-intercept of the second inequality's dashed line?

• 3

• 2

• 1

• 4

What is the slope of the second inequality's dashed line?

• -1/3

• 1/3

• -3

• 3

For the second inequality, are we shading above or below the line?

• Both

• Neither

• Above

• Below

What is the y-value for the third inequality's horizontal line?

• -3

• -1

• -2

• -4

For the third inequality, are we shading above or below the line?

• Neither

• Both

• Below

• Above

What is the slope of the fourth inequality's vertical line?

• 2/3

• 3/2

• -3/2

• -2/3

For the fourth inequality, are we shading above or below the line?

• Above

• Below

• Neither

• Both