Which ordered pairs are solutions to the inequality 2x+y>−4?Select each correct answer.(5, −12)(−3, 0)(−1, −1)(0, 1)(4, −12)

we will proceed to resolve each case to determine the solution we have[tex]2x+y>-4[/tex][tex]y>-2x-4[/tex]we know thatIf an ordered pair is the solution of the inequality, then it must satisfy the inequality.case a) [tex](5,-12)[/tex]Substitute the value of x and y in the inequality[tex]-12>-2*5-4[/tex][tex]-12>-14[/tex] ------> is Truethereforethe ordered pair [tex](5,-12)[/tex] is a solution of the inequalitycase b) [tex](-3,0)[/tex]Substitute the value of x and y in the inequality[tex]0>-2*-3-4[/tex][tex]0>2[/tex] ------> is Falsethereforethe ordered pair [tex](-3,0)[/tex] is not a solution of the inequalitycase c) [tex](-1,-1)[/tex]Substitute the value of x and y in the inequality[tex]-1>-2*-1-4[/tex][tex]-1>-2[/tex] ------> is Truethereforethe ordered pair[tex](-1,-1)[/tex] is a solution of the inequalitycase d) [tex](0,1)[/tex]Substitute the value of x and y in the inequality[tex]1>-2*0-4[/tex][tex]1>-4[/tex] ------> is Truethereforethe ordered pair [tex](0,1)[/tex] is a solution of the inequalitycase e) [tex](4,-12)[/tex]Substitute the value of x and y in the inequality[tex]-12>-2*4-4[/tex][tex]-12>-12[/tex] ------> is Falsethereforethe ordered pair [tex](4,-12)[/tex] is not a solution of the inequalityVerifyusing a graphing toolsee the attached figurethe solution is the shaded  area above the lineThe points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality