Bell Work Rewrite this inequality in slope-intercept form and graph it 3y – 6x > 12.

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Presentation transcript:

Bell Work Rewrite this inequality in slope-intercept form and graph it 3y – 6x > 12

Systems of Inequalities

Graphing y < -x + 6 y < -2x + 4 Graph of y

Graphing y < -2x - 4 So what happens when we graph both inequalities simultaneously?

Coolness Discovered! Wow! The solution to the system is the brown region - where the two shaded areas coincide. The green region and red regions are outside the solution set.

What are the steps? Graph first inequality – Shade lightly (or use colored pencils) Graph second inequality – Shade lightly (or use colored pencils) Shade darkly over the common region of intersection. That is your solution!

What about this one? x ≥ 3 y ≥ 2

x ≥ 3 y ≥ 2 This is your answer!

Directions 1.Each partner will get a color 2.Write your name in your color

Quiz 1.y < -1 (partner 1) x > 3 (partner 2) 3. y < ½x + 2 (partner 1) y > x – 2 (partner 2) 5. x < -3 (partner 1) x > 4 (partner 2) 2. y - x < 3 (partner 1) x > -3 (partner 2) 4. y < 1 (partner 1) y > 2x + 3 (partner 2) 6. y < -2 (partner 1) x > -3 (partner 2)