Q. 74.1( 31 Votes )

Solve the inequal

Answer :

It is given in the question that,

3(x – 1) ≤ 2 (x – 3)


3x – 3 ≤ 2x – 6


Adding 3 to both the sides,


3x – 3+ 3 ≤ 2x – 6+ 3


3x ≤ 2x – 3


Subtracting 2x from both the sides,


3x – 2x ≤ 2x – 3 – 2x
x ≤ -3
The solutions of the given inequality are defined by all the real numbers less than or equal to -3.


Thus, (-∞, -3] is the required solution set.


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