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Natasha2012 [34]
2 years ago
6

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

Mathematics
2 answers:
romanna [79]2 years ago
5 0

Hello there I hope you are having a great day :)

Your Question, -4(2x + 4) > 8x + 64 Solve for X

1) Expand -8x-16>8x+64

2) Add 16 to both sides -8x-16+16>8x+64+16

3) Simplify -8x>8x+80

4) Subtract 8x from both sides -8x-8x>8x+80-8x

5) Simplify -16x>80

6) Multiply both sides -1 (Reverse the inequality) (-16x) (-1) >80 (-1)

7) Simplify 16x<-80

8) divide both sides by 16   16x/16 <  -80/16

9) Simplify x < -5  

This should be your answer x < -5

Hopefully that helps you :)

viva [34]2 years ago
4 0

Answer:

x<-5

Step-by-step explanation:

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

-8x+-16>8x+64

+8x +8x

-16>16x+64

-64 -64

-80>16x

/16 /16

-5>x

x<-5

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<u>The overall </u><u>algebraic  expression</u><u> will be:   </u>\frac{5(x+11)}{3(x+8)}<u />

Definition of algebraic expression -

An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

Five times the sum of a number and eleven, divided by three times the sum of the number and eight.

Let the number be x.

Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

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Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

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So, the overall <u>algebraic</u> expression will be:    \frac{5(x+11)}{3(x+8)}

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