solve the inequalities 3(x-1)<=2(x-3)
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Answer :-
Given that, 3(x – 1) ≤ 2 (x – 3)
By multiplying above inequality can be written as
3x – 3 ≤ 2x – 6
Now by adding 3 to both the sides, we get
3x – 3+ 3 ≤ 2x – 6+ 3
3x ≤ 2x – 3
Again by subtracting 2x from both the sides,
3x – 2x ≤ 2x – 3 – 2x
x ≤ -3
Therefore the solutions of the given inequality are defined by all the real numbers less than or equal to -3.
Hence the required solution set is (-∞, -3]
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