1.

If 4 + 2x > 3(x – 1) and x + 3(x – 2) > x + 9; then ‘x’ can take which of the following values?1. (-7.5)2. 6.53. 7.34. (-6)

Answer» Correct Answer - Option 2 : 6.5

Given:

4 + 2x > 3(x – 1)

x + 3(x – 2) > x + 9

Concept:

Using inequality, find the range of x from both the equations and choose the appropriate option.

Calculation:

∵ 4 + 2x > 3(x – 1)

⇒ 4 + 2x > 3x – 3

⇒ 4 + 3 > 3x – 2x

⇒ x < 7     ----(1)

∵ x + 3(x – 2) > x + 9

⇒ x + 3x – 6 > x + 9

⇒ 4x – 6 > x + 9

⇒ 4x – x > 9 + 6

⇒ 3x > 15

⇒ x > 15/3

⇒ x > 5      ----(2)

From (1) and (2);

5 < x < 7

∴ From the options, x can take the value of 6.5.


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