Kuta software - Infinite Algebra 1 Solving System of Inequalities

Sketch the solution to each system of inequalities.

y

≤

−

x

−

2

(1)

y

≥

−

5

x

+

2

(2)

First graph the 2 linear functions by intercepts:

a. y1 = - x - 2

Make x = 0 --> y-intercept is -2

Make y = 0 --> x-intercept is - 2

b. y2 = -5x + 2

Make x = 0 --> y-intercept is 2

Make y = 0 --> x-intercept is

2

5

Graphically solve the 2 linear inequalities (1) and (2).

The solution set of (1) is the area below the line y1. Color it.

The solution set of (2) is the area above the line y2. Color it.

The combined solution set of the system is the area commonly shared by the 2 above solution set areas.

graph{-x - 2 [-10, 10, -5, 5]}

graph{-5x + 2 [-10, 10, -5, 5]}

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

europa2433

europa2433

step-by-step explanation: