Question

If the replacement set is the set of even natural numbers, then solve `(5x-8)/3 <= (7x+13)/5 - x/2`

Answer 1

`(5x − 8)/3 ≤ (7x + 13)/5 − x/2`

Multiply both sides by 30:

50x − 80 ≤ 27x + 78

23x ≤ 158

⇒ x ≤ `158/23`

= 6.8696

x ∈ `(−∞, 158/23)`

x ≤ 6.87

Even natural numbers ≤ 6.87 are:

x = {2, 4, 6}​