Question

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

Answer 1

Answer:

x < -40/13

Step-by-step 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!

                                             

Answer 2

Answer:

x< - $\frac{16}{3}$

Step-by-step 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

$\frac{15x}{15} < \frac{-80}{15}$