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Big Ideas Math Integrated I, 2016 View details

6. Graphing Linear Inequalities in Two Variables

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Exercise 2 Page 250

Does substituting the point into the inequality result in a true statement?

No

Practice makes perfect

To determine if a point satisfies an equation, we substitute the point into the equation and simplify. If the resulting statement is true, then the point is contained in the solution set. For inequalities, we can use the same method. Let's test the given point.

4x-y≥5

SubstituteII

x= 0, y= 0

4( 0)- 0? ≥5

ZeroPropMult

Zero Property of Multiplication

0-0? ≥5

SubTerm

Subtract term

0 ≱ 5 *

Since 0 is not greater than or equal to 5, (0,0) is not a solution of the inequality.