-
If 4 (2x + 3) > 5 – x and 5x –3 (2x – 7) > 3x – 1, then x can take which of the following values?
-
- 6
- –1
- 5
- –6
Correct Option: C
4 (2x + 3) > 5 – x
⇒ 8x + 12 > 5 – x
⇒ 8x + x > 5 – 12
⇒ 9x > –7
| ⇒ x > | |
| 9 |
Again,
5x – 3 (2x – 7) > 3x – 1
⇒ 5x – 6x + 21 > 3x – 1
⇒ –x + 21 > 3x – 1
⇒ –x – 3x > – 21 – 1
⇒ –4x > –22
⇒ 4x < 22
| ⇒ x < | i.e., x < 5.5 | |
| 4 |
∴ Required value of x = 5
