Answer:
a)
x≥3
b)

c)
y < 28
d)
x > 5/2
Explanation:
a)
We have been given the following inequality;
4x-3≥9
add 3 to both sides of the equation,
4x-3+3≥9+3
4x≥12
divide both sides by 4,
x≥3
b)
We have been given the following inequality;
3(t+4)<5
we open the brackets on the left hand side,
3t + 12 <5
subtract 12 on both sides of the equation,
3t + 12 -12 <5-12
3t < -7
divide both sides by 3,

c)
We have been given the following inequality;

multiply both sides by 7,
2y < 56
divide both sides by 2,
y < 28
d)
5x + 4 > -3(x-8)
we open the brackets on the right hand side,
5x + 4 > -3x + 24
add 3x to both sides of the inequality,
5x + 4 + 3x > -3x + 24 + 3x
8x + 4 > 24
subtract 4 on both sides,
8x + 4 - 4 > 24 - 4
8x > 20
divide by 8 on both sides,
x > 5/2