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-2 (2x - 4) < 4(2 - x) Option 2 All real numbers Option 3 No solution​

-2 (2x - 4) < 4(2 - x) Option 2 All real numbers Option 3 No solution​-example-1
User Rady
by
4.9k points

1 Answer

2 votes

Answer: No Solution

Explanation:

First, we should solve the equation. Depending on our answer, we will know which option to pick


-2\left(2x-4\right)<4\left(2-x\right)

Use Distributive Property


-4x+8<8-4x

Subtract 8 from both sides


-4x+8-8<8-4x-8\\\\-4x<-4x

Add four to both sides


-4x+4x<-4x+4x\\\\0<0

Since zero is not greater than zero, there is no solution. Therefore, the answer option to pick is no solution.

User Nestor Yanchuk
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