| 3x - 4 | > 20. Which of the following choices is not a possible value for x?

Question: |3x - 4| > 20. Which of the following choices is not a possible value for x?

Solution:
Given,
|3x - 4| > 20

So,

Case 1:
3x - 4 > 20
⇒ 3x > 24
⇒ x > 8

Case 2:
3x - 4 < - 20
⇒ 3x < - 16
⇒ x < - 16/3
⇒ x < - 5.333...

Therefore, the solution set is:
x > 8 or x < - 5.333...

Now check each option:

ক) - 5.3 → - 5.3 > - 5.333..., so it does NOT satisfy x < - 5.333... ⇒ Not possible

খ) 8.2 → 8.2 > 8 ⇒ Possible

গ) - 5.4 → - 5.4 < - 5.333... ⇒ Possible

ঘ) 8.1 → 8.1 > 8 ⇒ Possible

∴ Not a possible value of x = ক) - 5.3