Option B:
–1 is the value included in the solution set
Solution:
Given inequality is –3(x – 4) > 6(x – 1).
⇒ –3x + 12 > 6x – 6
Add 3x on both sides of the expression.
⇒ –3x + 12 + 3x > 6x – 6 + 3x
⇒ 12 > 9x – 6
Add 6 on both sides of the expression.
⇒ 12 + 6 > 9x – 6 + 6
⇒ 18 > 9x
Divide by 9 on both sides of the expression.
⇒ 2 > x
⇒ x < 2
Therefore the solution set is x < 2.
In the given options 3 and 7 are greater than the solution set.
x < 2, so 2 is also not in the solution set.
–1 is the only value which is in the solution set x < 2.
Hence, –1 is the value included in the solution set.
