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35 votes
35 votes
Solve inequality for x -4(2x+4)>8x+64

User Amit Bhandari
by
2.6k points

2 Answers

25 votes
25 votes

Answer:

x < -40/13

Explanation:

-4(2x + 4) > 8x + 64

-8x -16 > 8x + 64 use distributive property first

+8x +8x isolate the variable to one side

-16 > 26x + 64

-64 -64 -64 from both sides to get both terms on either side

-80 > 26x

÷26 ÷26 ÷26 on both sides to get x without any numbers

-80/26 > x

x < -80/26

x < -40/13 simplify

Your answer is x < -40/13

make sure the negative symbol is not next to the 40 only but is where the line is to show the fraction (I hope this makes sense - let me know if not)

Hope this helps!

User Shika
by
2.6k points
13 votes
13 votes

Answer:

x< -
(16)/(3)

Explanation:

x 8x_16>8x+64

Add similar elemants:x - 8x= -7x

-7x - 16 > 8x + 64

Add 16 to both sides

-7x- 16 + 16 > 8x + 64 + 16

Simplify

- 7x > 8x + 80

Subtract 8x from both sides

-7x - 8x > 8x + 80 - 8x

Simplify

-15x > 80

Multiply both sides by - 1 ( reverse the inequality)

(-15x) ( - 1) < 80 ( - 1 )

simplify


(15x)/(15) < (-80)/(15)

User Wingzero
by
3.3k points