Question

Can someone solve this inequality for x (x–2)a ≤ x+1 if a>1

Answer 1

Answer:

x ≤ (1+2a) / (a-1)  where a > 1

Step-by-step explanation:

(x–2)a ≤ x+1

x(a) -2(a) ≤ x + 1

ax -2a ≤ x + 1   (subtract x from both sides)

ax -2a - x  ≤  1 (add 2a to both sides)

ax - x  ≤  1 + 2a  (factor out x from left side)

x (a - 1) ≤ 1 + 2a

x ≤ (1+2a) / (a-1)  where a > 1