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McGraw Hill Glencoe Algebra 2, 2012

MH

McGraw Hill Glencoe Algebra 2, 2012 View details

7. Transformations of Quadratic Graphs

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Exercise 74 Page 280

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

Yes

Practice makes perfect

When determining if a given 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 of the equation. For inequalities, we can use the same method. Let's test to see if

x = 2

satisfies given inequality.

3 x^{2} - 5 > 6

$x = 2$

3 (2)^{2} - 5 > ? 6

Calculate power

3 (4) - 5 > ? 6

Multiply

12 - 5 > ? 6

Subtract term

7 > 6

The inequality is satisfied for

x = 2

.

Subchapter links

Check Your Understanding p.278

Practice and Problem Solving p.278-279

H.O.T. Problems p.279

Standardized Test Practice p.280

Spiral Review p.280

Skills Review p.280