Solve the following linear inequations in R

Given

For this inequation to be true, there are two possible cases.

i. 8x – 33 > 0 and 2x – 5 > 0

⇒ 8x – 33 + 33 > 0 + 33 and 2x – 5 + 5 > 0 + 5

⇒ 8x > 33 and 2x > 5

However,

Hence,

ii. 8x – 33 < 0 and 2x – 5 < 0

⇒ 8x – 33 + 33 < 0 + 33 and 2x – 5 + 5 < 0 + 5

⇒ 8x < 33 and 2x < 5

However,

Hence,

Thus, the solution of the given inequation is.