In the table, highlight each pair of values that satisfies the first inequality. The highlighted pairs are the solutions of both inequalities.
✓ Got It?
-
Assume that x and y are whole numbers. What is the solution of the system of inequalities?
| g | m |
|---|---|
| 0 | 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 |
| 1 | 0, 1, 2, 3, 4, 5, 6, 7 |
| 2 | 0, 1, 2, 3, 4, 5 |
| 3 | 0, 1, 2 |
| 4 | 0 |
You can solve a system of linear inequalities by graphing. Recall that when the variables of a linear inequality represent real numbers, a graphed solution consists of a half-plane and possibly its boundary line. Thus, for two inequalities, the solution is the overlap of the two half-planes.
Problem 2 Solving a System by Graphing
What is the solution of the system of inequalities?
Plan
How can you be sure to shade the correct half-planes?
If the inequality is in slope-intercept form, shade above the boundary if
Graph each inequality. Rewrite
Check Pick a point in the overlap region, such as (0, 2), and check it in both inequalities of the system.
✓ Got It?
- What is the solution of the system of inequalities?
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions