Answer:a)x≥3b)[tex]t<-\frac{7}{3}[/tex]c)y < 28d)x > 5/2Step-by-step explanation:a)We have been given the following inequality;4x-3≥9add 3 to both sides of the equation,4x-3+3≥9+34x≥12divide both sides by 4,x≥3b)We have been given the following inequality;3(t+4)<5we open the brackets on the left hand side,3t + 12 <5subtract 12 on both sides of the equation,3t + 12 -12 <5-123t < -7divide both sides by 3,[tex]t<-\frac{7}{3}[/tex]c)We have been given the following inequality;[tex]\frac{2y}{7}<8[/tex]multiply both sides by 7,2y < 56divide both sides by 2,y < 28d)5x + 4 > -3(x-8)we open the brackets on the right hand side,5x + 4 > -3x + 24add 3x to both sides of the inequality,5x + 4 + 3x > -3x + 24 + 3x8x + 4 > 24subtract 4 on both sides,8x + 4 - 4 > 24 - 48x > 20divide by 8 on both sides,x > 5/2