Which ordered pairs are solutions to the inequality 4x+y>−6?Select each correct answer.(2, 0)(−3, 6)(4, −20)(0, −9)(−1, −1)
Accepted Solution
A:
Answer:(2,0) , (4,-20) and (-1,-1)Step-by-step explanation:[tex]4x+y>-6[/tex]WE need to select an ordered pair that is solution to our inequalityLets check with each option(2,0) , plug in 2 for x and 0 for y [tex]4x+y>-6[/tex][tex]4(2)+0>-6[/tex][tex]8>-6[/tex] True(−3, 6), plug in -3 for x and 6 for y [tex]4x+y>-6[/tex][tex]4(-3)+6>-6[/tex][tex]-6>-6[/tex] False(4, −20) , plug in 4 for x and -20 for y [tex]4x+y>-6[/tex][tex]4(4)-20>-6[/tex][tex]-4>-6[/tex] True(0, −9) , plug in 0 for x and -9 for y [tex]4x+y>-6[/tex][tex]4(0)-9>-6[/tex][tex]-9>-6[/tex] False(-1, −1) , plug in -1 for x and -1 for y [tex]4x+y>-6[/tex][tex]4(-1)-1>-6[/tex][tex]-5>-6[/tex] True