−8x+44≥60 AND−4x+50<58

Answer:No SolutionStep-by-step explanation:[tex]-8x+44\geq 60 and  -4x+50<58[/tex]WE solve each inequality separately then we combine the answers[tex]-8x+44\geq 60[/tex]Subtract 44 from both sides[tex]-8x\geq 16[/tex]Divide by [tex]-8[/tex] on both sides , when we divide by negatie number then we flip the inequality sign[tex]x \leq -2[/tex]now solve the other inequality[tex]-4x+50<58[/tex]Subtract 50 on both sides[tex]-4x<8[/tex]Divide by [tex]-4[/tex][tex]x > -2[/tex]Consider both inequlities [tex]x \leq -2[/tex] and [tex]x > -2[/tex]There is no intersection between both inequalitiesSo no solution