Solve the following linear inequations in R
Given
For this inequation to be true, there are two possible cases.
i. 2x – 3 ≥ 0 and x – 1 > 0
⇒ 2x – 3 + 3 ≥ 0 + 3 and x – 1 + 1 > 0 + 1
⇒ 2x ≥ 3 and x > 1
However,
Hence,
ii. 2x – 3 ≤ 0 and x – 1 < 0
⇒ 2x – 3 + 3 ≤ 0 + 3 and x – 1 + 1 < 0 + 1
⇒ 2x ≤ 3 and x < 1
However,
Hence, x ∈ (–∞, 1)
Thus, the solution of the given inequation is.