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

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

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !