3 years ago

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

Mathematics

1 answer:

fiasKO [112]3 years ago

7 0

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

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See the image below, hope it helps!

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