Question

Solve the following inequalities

6(x + 6) ≥ 5(x – 3), x is a whole number

Answer 1

6(x + 6) ≥ 5(x – 3)

6x + 36 ≥ 5x – 15

Subtracting 5x on both sides

6x + 36 – 5x ≥ 5x – 15 – 5x

x(6 – 5) + 36 ≥ x(5 – 5) – 15

x + 36 ≥ – 15

Subtracting 36 on both sides

x + 36 – 36 ≥ –15 – 36

x ≥ – 51

The solution is a whole number and which is greater than or equal to – 51

∴ The solution is 0, 1, 2, 3, 4, …

x = 0, 1, 2, 3, 4, …