System of Inequalities

October 30th, 2010

Download: mp3 and materials on Discovery Streaming

View: Area of Shade Lyric Explanation

Verse 1:
y > 3x + 5
Graph using y-intercept and slope
And shade above the dotted line
y ≤ x + 9
This goes on the same, same graph
Shade below the solid line
Graphing two linear inequalities
Do this one then that
Look for the shaded area that overlaps
That’s the solution for this system
This is what I’m telling you
Those are the coordinates that make both inequalities true

Chorus:
Two lines in a system of inequalities
Shade this one this way
And that one over there
Solve the system of inequalities
Find what’s in common
And what area of shade they share

Verse 2:
y < 3x + 5
Graph using y-intercept and slope
And shade below the dotted line
y ≥ x + 9
This goes on the same, same graph
Shade above the solid line
Graphing two linear inequalities
Do this one then that
Look for the shaded area that overlaps
That’s the solution for this system
This is what I’m telling you
Those are the coordinates that make both inequalities true

Bridge:
Parallel lines are just full of surprises
Shading in opposite directions on there
Like steak and Ramen
They’ve got nothing in common
No shaded solutions, just empty air