Solve the following linear inequations in R
Given
For this inequation to be true, there are two possible cases.
i. 2x – 3 > 0 and 3x – 7 > 0
⇒ 2x – 3 + 3 > 0 + 3 and 3x – 7 + 7 > 0 + 7
⇒ 2x > 3 and 3x > 7
However,
Hence,
ii. 2x – 3 < 0 and 3x – 7 < 0
⇒ 2x – 3 + 3 < 0 + 3 and 3x – 7 + 7 < 0 + 7
⇒ 2x < 3 and 3x < 7
However,
Hence,
Thus, the solution of the given inequation is.