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Ann [662]
3 years ago
13

Solve the inequality 3 + 9x >4(x+7) pls help

Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0

Answer:

x<5

Step-by-step explanation:

the greater sign will firstly be changed to = for better solving so we obtain

3+9x=4(x+7)by opening bracket

3+9x=4x+28

9x-4x=28-3

5x=25

divide all through by 5x

we obtain

x=5

the greater sign change here

which is x<5

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Answer:

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for two lines to be parallel they MUST have the same slope but have different Y intercepts ( Y axis crossing values)

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first I use a graphing calcuator to solve the problem

I like to use y intercept form better, but you don't have use it

I will try to solve it directly without going through the y intercept equation

x + 5y = 10    in y intercept form y = mx + b is

5y = -x + 10     divide both sides by 5

y = -x/5 + 10/5    

y = -x/5 + 2

Now I need to find a parallel line that passes through the x =1 and y = 3 point recall this line will have the same slope =     m = -1/5

and a different Y axis crossing point 'b' that we don't know

y = -x/5 + b      y = 3 when x = 1 so slove for 'b'

3 = -1/5 + b

3 = -0.2 + b    add -0.2 to both sides

3.2 = b

y = -x/5 + 3.2     this is answer in y intercept form

                          if you multiply both sides by 5

5y = -x + 16        add x to both sides

x + 5y = 16         answer in standard form

THE EASIER WAY TO SOLVE THE PROBLEM IS ......

x + 5y = 10      find a line parallel that passes through x  = 1,  y = 3  

x + 5y = Z       Z is an unknown value  plug in x and y and solve for Z

1 + 5(3) = Z

Z = 16              so the parallel line in standard form is

x + 5y = 16    

same as before,  my y intercept method was correct, but not  worth the effort

       

6 0
3 years ago
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