Question

Решите 2(x+2)-2(3x-1) <4x

Answer 1

2x+4-6x+2<4x
-4x+6<4x
8x>6
x>3/4

Answer 2

Let's simplify the left-hand side of the inequality first:

2(x+2) - 2(3x-1) = 2x + 4 - 6x + 2 = -4x + 6

Now we can rewrite the inequality as:

-4x + 6 < 4x

Next, we'll isolate the x terms on one side and the constant terms on the other side:

-8x < -6

Finally, we'll solve for x by dividing both sides by -8 (and reversing the inequality since we're dividing by a negative number):

x > 3/4

Therefore, the solution to the inequality 2(x+2)-2(3x-1) < 4x is x > 3/4.