Determine whether the points (–3,–6) and (2,–8) are in the solution set of the system of inequalities below. x ? –3 y < 5? 3x + 2 a. the point (–3,–6) is not in the solution set, and the point (2,–8) is in the solution set. b. neither of the points is in the solution set. c. the point (–3,–6) is in the solution set, and the point (2,–8) is not in the solution set. d. both ... Desmos offers best-in-class calculators, digital math activities, and curriculum to help every student love math and love learning math. Chapter 3), we will discover that the general solution of this equation is given by the equation x = Aekt, for some constant A. We are told that x = 50 when t = 0 and so substituting gives A = 50. Thus x = 50ekt. Solving for t gives t = ln(x/50)/k. With x(1600) = 25, we have 25 = 50e1600k. Therefore, 1600k = ln 1 2 = −ln(2), According to the given condition, Three years hence, Age of Aftab = x + 3 Age of his daughter = y + 3 According to the given condition, Thus, the given conditions can be algebraically represented as: x - 7y = -42 x - 3y = 6 Three solutions of this equation can be written in a table as follows: Let us now consider the general equation of the second degree in two variables given by ax 2+ 2hxy+ by + 2gx+ 2fy+ c = 0: (5.1) We will try to completely describe the solution set Sof this equation. Certain computations will repeatedly occur and so it will be useful for us to do them once and for all. Set x= X+ and y= Y + . Then (5.1) becomes The set of 2n-end solution will be denoted by M 2n. By the curvature decay estimates of Wang-Wei[56], a solution is multiple-end if and only if it has ﬁnite Morse index. In [12], the inﬁnite dimensional Lyapunov-Schmidt reduction method has been used to construct a family of 2n-end solutions for the Allen-Cahn equation (1.4).