Is the ping (1,-3) a solution to the system? SHOW ALL YOUR WORK!

Y < x - 1
Y > -x + 2

Solution:

Given system of inequalities are:

We have to check if the point (1, -3) is a solution to system

Substitute (x, y) = (1, -3) in eqn 1 and eqn 2 and check if satisfies the inequality

Substitute (x, y) = (1, -3) in eqn 1

-3 is less than 0 is true

Substitute (x, y) = (1, -3) in eqn 2

-3 greater than 1 is false

Therefore, the point (1, -3) is not a solution to system of given inequality

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2