Write a system of linear inequalities that is given by the following graph. (5 points)

The system of inequalities are

x - y < 1 and y < - 2

The horizontal line shown in the graph has equation y = - 2 {As it is parallel to x-axis}

Now, this line is dotted and the lower portion of the graph is shaded.

So, the inequality will be y < - 2 (1)

Again, another line is there in the graph which passes through the points (1,0) and (0,-1)

So, its equation will be

⇒ y + 1 = x

⇒ x - y = 1

Now, the origin (0,0) is within shaded zone of the inequality and putting x = 0 and y = 0, we get

0 - 0 < 1

So, the equation of the inequality is x - y < 1 {As the line is dotted}

Therefore, the system of inequalities are

x - y < 1 and y < -

Step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

c. (3,2,6) is the answer.