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Big Ideas Math Integrated I, 2016 View details

6. Graphing Linear Inequalities in Two Variables

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Exercise 7 Page 253

Does substituting the ordered pair into the inequality result in a true statement?

Yes

Practice makes perfect

To determine if an ordered pair satisfies an equation, we substitute it 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 ordered pair.

-6x+4y≤6

SubstituteII

x= -3, y= -3

-6( -3)+4( -3)? ≤6

Multiply

18-12? ≤6

SubTerm

Subtract term

6≤6 ✓

Since 6 is less than or equal to 6, the resulting statement is true. Therefore, the ordered pair (- 3,- 3) is a solution of the inequality.