Hello lzukuXKachan!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Solve 2(1 – x) > 2x.
x < 2
x < 0.5
x > 0.5
x > 2
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]2 ( 1 - x ) \gt 2 x[/tex]
Firstly, cancel out 2 from both sides of the equation. Now, the equation will be....
[tex]1 - x > x[/tex]
Now, subtract x from both sides.
[tex]1 - x - x > 0[/tex]
Combine -x & -x. It'll be one -2x.
[tex]1-2x>0 [/tex]
Again subtract 1 from both the sides. Remember :- any number subtracted from 0 will result in its negation
So, it'll be -1.
[tex]-2x>-1 [/tex]
Divide both sides by -2.
[tex]x<\frac{-1}{-2} \\ [/tex]
Remove the negative signs. (negative ÷ negative = positive)
[tex]x<\frac{1}{2} \\ = \large\boxed{ \boxed{ \bf \: x < 0.5}}[/tex]
__________________
Hope it'll help you!
ℓucαzz ッ
