Question

Solve 2(1 – x) > 2x this is my question for algebra

Answer 1

To solve this, you need to isolate/get the variable "x" by itself in the inequality:

2(1 - x) > 2x     Divide 2 on both sides

$\frac{2(1-x)}{2} >\frac{2x}{2}$

1 - x > x     Add x on both sides to get "x" on one side of the inequality

1 - x + x > x + x

1 > 2x        Divide 2 on both sides to get "x" by itself

$\frac{1}{2} >x$  or  $x$     (x is any number less than 1/2)

[Another way you could've solved it]

2(1 - x) > 2x     Distribute 2 into (1 - x)

(2)1 + (2)(-x) > 2x

2 - 2x > 2x      Add 2x on both sides

2 - 2x + 2x > 2x + 2x

2 > 4x    Divide 4 on both sides to get "x" by itself

$\frac{2}{4} >\frac{4x}{4}$

$\frac{1}{2} >x$