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aleksley [76]
3 years ago
14

What is the final step to solving the inequality -2(5-4x)<6x-4

Mathematics
2 answers:
Alina [70]3 years ago
6 0
Here's the whole equation; tldr divide -6 by -2 and flip the inequality from < to >.  
-2(5-4x) \ \textless \  6x - 4 \\ &#10;-10+8x \ \textless \  6x -4  \\ &#10;-6+8x \ \textless \  6x \\ &#10;-6 \ \textless \  -2x \\ &#10;3 \ \textgreater \  x&#10; 
Fittoniya [83]3 years ago
3 0

Answer:

x< 3

Step-by-step explanation:

-2(5-4x)<6x-4

multiply -2 inside the parenthesis

-2 * 5 = -10

-2 * -4x= 8x

-2(5-4x)<6x-4

-10 + 8x < 6x -4

To solve for x  we need 'x' on the left hand side

Subtract 6x from both sides

-10 + 8x -6x< 6x -6x -4

-10 +2x < -4

Add 10 on both sides

-10 +10 +2x < -4+10

2x < 6

divide by 2 on both sides

x< 3

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