Question

Solve the inequality of 2(x-6)<-3(x-1)

Answer 1

x>12

Explanation:

1/3(x-6)>2

distribute 1/3

1/3x-2>2

add 2 to both sides

1/3x>4

multiply both sides by 3

x>12

Answer 2

Answer: 2(x-6) < -3(x-1) is x < 3.

Explanation:
2(x-6) < -3(x-1)

Expanding the brackets, we get:

2x - 12 < -3x + 3

Adding 3x to both sides, we get:

5x - 12 < 3

Adding 12 to both sides, we get:

5x < 15

Dividing both sides by 5, we get:

x < 3