But his car stuck on the highway within 5 km from a mileage marker of 60 km

# But his car stuck on the highway within 5 km from a

This preview shows page 11 - 16 out of 20 pages.

from Al Ain to Dubai. But, his car stuck on the highway within 5 km from a mileage marker of 60 km. This means that your friend must be somewhere between 55 km and 65 km. This is an example of an absolute-value inequality. Absolute-value inequality are in one of the two forms: ǀ x a ǀ < b or ǀ x a ǀ > b To solve ǀ x 60 ǀ < 5, we use 5 < x 60 < 5 11
2.8.2: Solve an Absolute-Value Inequality For any positive p, if ǀ x ǀ p, then p x p p p Examples: Solve the following inequality; then graph the solution set. a) ǀ x 5 ǀ < 9 b) ǀ 5 3x ǀ 6 12
2.8.2: Solve an Absolute-Value Inequality For any positive p, if ǀ x ǀ p, then x p or x p p p Examples: Solve the following inequality; then graph the solution set. a) ǀ x 7 ǀ > 19 b) ǀ x 5 ǀ 18 13
8.3: Systems of Linear Inequalities in Two Variables The solution set of systems of linear inequality is all ordered pairs that satisfy both inequalities. The graph of the solution set of a system of linear inequalities is then the intersection of the graphs of the individual inequalities. Example: Solve the following system of linear inequalities by graphing. x + y > 4 x y < 2 14
8.3: Systems of Linear Inequalities in Two Variables Solution: We start by graphing each inequality separately. The boundary line is drawn, and using (0, 0) as a test point, we see that we should shade the half-plane above the line in both graphs.

#### You've reached the end of your free preview.

Want to read all 20 pages?

• Fall '18
• jane
• Accounting, Elementary algebra, Negative and non-negative numbers, Binary relation