Q:

Which ordered pairs are solutions to the inequality y-4x (greater than or equal to) -5?Select each correct answer.(-2,1)(-4,2)(1,-1)(4,0)(5,-2)

Accepted Solution

A:
Answer:(-2,1)   , (-4,2)   and (1,-1) are the solution  to the given expression.Step-by-step explanation:Here, the given expression is y - 4x  ≥  -5Now, checking for the points:a) ( -2, 1) y - 4x  = 1 - 4(-2) = 1 + 4 = 5and 5  >   -5 . Hence, ( -2, 1)  is the solution. b) ( -4, 2) y - 4x  = 2 - 4(-4) = 2 + 16 = 18and 18  >   -5 . Hence, ( -4, 2)  is the solution. c) ( 1, -1) y - 4x  = -1 - 4(1) = -1 -4 = -5and -5  =   -5 . Hence, ( 1, -1)  is the solution. d) ( 4, 0) y - 4x  = 0 - 4(4) = -16and -16 is NOT greater than or equal to  -5 . Hence, ( 4, 0)  is NOT the solution. e) ( 5, -2) y - 4x  = -2 - 4(5) = -2 - 20 = -22and -22 is NOT greater than or equal to  -5 . Hence, ( 5, -2)  is NOT the solution.