Solve the inequation :
3z−5≤z+3<5z−9; z∈R.
Graph the solution set on the number line.
3z – 5 ≤ z + 3 < 5z – 9
3z – 5 ≤ z + 3 and z + 3 < 5z – 9
2z ≤ 8 and 12 < 4z
z ≤ 4 and 3 < z
∴ Solution set = {3 < z ≤ 4, z ∈ R }
It can be represented on a number line as: