Question

solve linear inequalities is 3 (x-1)<2(x-3)

Answer 1

3x-3<2x-6
3x-2x<-6+3
x<-3

Answer 2

Solution :-

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]