Question

Solve 2(1 – x) > 2x.

Answer 1

x<1/2

Explanation:

Expand.

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2(1-x)=2-2x

2-2x>2x

First, subtract by 2 from both sides of equation.

2-2x-2>2x-2

Simplify.

-2x>2x-2

Then subtract by 2x from both sides of equation.

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

Simplify.

-4x>-2

Multiply by -1 from both sides of equation.

(-4)(-1)<(-2)(-1)

Simplify.

4x<2

Divide by 4 from both sides of equation.

4x/4<2/4

Simplify, to find the answer.

2/4=1/2

X<1/2 is the correct answer.

Answer 2

First you must distribute the 2 to the numbers inside the parentheses, which would be 1 and -x...

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

2 + (-2x) > 2x

2 - 2x >2x

Add 2x to both sides (what you do on one side you must do to the other). Since 2x is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.

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

2 + 0 > 4x

2 > 4x

Next divide 4 to both sides to finish isolating x. Since 4 is being multiplied by x, division (the opposite of multiplication) will cancel 4 out (in this case it will make 4 one) from the right side and bring it over to the left side.

2/4 > 4x / 4

1/2 > x

or

x < 1/2

Hope this helped!

~Just a girl in love with Shawn Mendes