Question -
Answer -
Given:
(x – 1)/3 + 4 < (x – 5)/5 – 2
Subtract both sides by 4 we get,
(x – 1)/3 + 4 – 4 < (x – 5)/5 – 2 – 4
(x – 1)/3 < (x – 5)/5 – 6
(x – 1)/3 < (x – 5 – 30)/5
(x – 1)/3 < (x – 35)/5
Cross multiply we get,
5 (x – 1) < 3 (x – 35)
5x – 5 < 3x – 105
5x – 5 + 5 < 3x – 105 + 5
5x < 3x – 100
5x – 3x < 3x – 100 – 3x
2x < –100
Divide both sides by 2, we get
2x/2 < -100/2
x < -50
∴ The solution of the given inequation is (-∞, -50).