Question

Show the work please

Answer 1

6/5

Explanation:

-6(1 - x) + x < - (3 - 2x) + 3

At first, we multiply the first bracket on the left side by - 6.

-6 + 6x + x < - (3 - 2x) + 3

Then, on the right side, we will break the brackets.

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

Now we use addand subtract rule,

-6 + 7x < 2x

or, -6 < 2x - 7x

or, - 6 < - 5x

Now we divide both the side by -5. It will reverse the inequality.

or, [-6 ÷ (-5)] > [(-5x ÷ (-5)]

or, (6/5) > x

As we interchange the side, the inequality again reverse.

x < (6/5)