Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
6. Graphing Linear Inequalities in Two Variables
Continue to next subchapter

Exercise 3 Page 250

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

Yes

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.

5x-2y≤-1
5( -4)-2( -1)? ≤-1
-20-2(- 1)? ≤-1
-20+2? ≤-1
-18≤-1 ✓

Since -18 is less than or equal to -1, (-4,-1) is a solution of the inequality.