Question

Solve the Inequality 3(x-1)<2(x-3)

Answer 1

Here is ur answer!!

3(x-1) < 2(x-3)

3x - 3 < 2x - 6

3x - 2x < -6 + 3

x < -3

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Answer 2

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]