Which of the following points are solutions to the system of inequalitiesshown below?Check all that apply.y>5x-3x< 50A. (2,5)0B. (4.17)0C. (6,11)D. (2,8)E. (1,4)OF. (5,30)
Accepted Solution
A:
Answer:B, D, EStep-by-step explanation:2nd inequality says that x has to be less than 5, so firstly, we eliminate any choices that have x greater than or equal to 5:So, C and F are eliminated.Now looking at others, we simply put the x coordinate into the 1st inequality and check whether the right side is less than or equal to y coordinate. If so, we include that choice.Choice A:5(2) - 3 = 77 is not less than or equal to 5, so NOChoice B:5(4) - 3 = 1717 is less than or equal to 17, so YESChoice D:5(2) - 3 = 77 is less than or equal to 8, so YESChoice E:5(1) - 3 = 22 is less than or equal to 4, so YES