ms. cassidy plotted the point (2, 3) on miguels graph of y < 2x - 4. she instructed him to change one number…

ms. cassidy plotted the point (2, 3) on miguels graph of y < 2x - 4. she instructed him to change one number or one symbol in his inequality so that the point (2, 3) can be included in the solution set. which equations might miguel write? check all that apply. y < 2x - 1 y ≤ 2x - 4 y > 2x - 4 y < 2x + 4 y < 3.5x - 4 y < 4x - 4

ms. cassidy plotted the point (2, 3) on miguels graph of y < 2x - 4. she instructed him to change one number or one symbol in his inequality so that the point (2, 3) can be included in the solution set. which equations might miguel write? check all that apply. y < 2x - 1 y ≤ 2x - 4 y > 2x - 4 y < 2x + 4 y < 3.5x - 4 y < 4x - 4

Answer

Explanation:

Step1: Substitute x = 2 and y = 3 into each inequality

For $y<2x - 1$, substitute: $3<2\times2 - 1=4 - 1 = 3$, False. For $y\leq2x - 4$, substitute: $3\leq2\times2 - 4=4 - 4 = 0$, False. For $y>2x - 4$, substitute: $3>2\times2 - 4=4 - 4 = 0$, True. For $y<2x + 4$, substitute: $3<2\times2+4=4 + 4 = 8$, True. For $y<3.5x - 4$, substitute: $3<3.5\times2 - 4=7 - 4 = 3$, False. For $y<4x - 4$, substitute: $3<4\times2 - 4=8 - 4 = 4$, True.

Answer:

C. $y>2x - 4$, D. $y<2x + 4$, F. $y<4x - 4$