Can u guys plz help me?
-2(x-3) < 2x - 4

2.5 < x or 5/2 < x

Step-by-step explanation:

Start by distributing the -2 to the parenthesized numbers.

-2*x and -2*-3

You end up with -2x and 6 (negative times a negative gets positive).

-2x+6 < 2x-4

Next you need to get your variables, x, on one side. It can be either but I like addition so lets take the -2x and move it to the opposite side.

You'll need to add 2x to both sides since its a negative number.

-2x(+2x)+6 < 2x(+2x)-4

-2+2 is 0 and 2+2 is 4.

6 < 4x-4

You want to get the variable alone now so you'll want to add the 4 to the other side (because its negative you add. If it was positive you'd subtract).

6(+4) < 4x-4(+4)

6+4 is 10 and -4+4 is 0.

10 < 4x

You want to divide out the 4 from 4x because you want the variable alone. Divide 4 from both sides

10(/4) < 4x(/4)

Now depending on if you want a variable or a fraction 10/4 can be 5/2 (simplified fraction) or 2.5 (decimal). 4x/4 gives you x.

2.5 (or 5/2) < x

Hope that helps.

10

step-by-step explanation: