Respuesta :
Answer:
Step-by-step explanation:
Given is function linear in x
[tex]y=2x+13[/tex]
We have to find when this has a positive value and when negative value
The value which separates positive and negative is 0
First let us equate [tex]y=0\\2x+13=0\\x=-6.5[/tex]
Thus this value separates y from positive to negative
[tex]y>0\\2x+13>0\\x>-6.5[/tex]
Hence takes positive values for all x >-6.5 other wise negative values
At 6.5 it is 0.
For negative values of y = 2x + 13, x < -6.5
For positive values of y = 2x + 13, x > -6.5
The given equation is:
y = 2x + 13
For positive values of y, 2x + 13 > 0:
2x + 13 > 0
2x > -13
x > -13/2
x > -6.5
For negative values of y, 2x + 13 < 0:
2x + 13 < 0
2x < -13
x < -13/2
x < -6.5
Therefore:
For negative values of y = 2x + 13, x < -6.5
For positive values of y = 2x + 13, x > -6.5
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