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earnstyle [38]
3 years ago
5

Solve the following inequality. 2x + 2(x+5) <+4(8 – 20)

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

x <-14.5

Step-by-step explanation:

2x + 2(x+5) <+4(8 – 20)

Distribute

2x+2x+10 < 4 (-12)

4x +10 < -48

Subtract 10 from each side

4x+10-10 <-48-10

4x< -58

Divide each side by 4

4x/4 < -58/4

x <-14.5

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Equation for ( 6, 13) ( 7900, 5 )
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For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y=mx+b

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We have the following points through which the line passes:

(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}

Thus, the equation of the line is of the form:

y = - \frac {4} {3947} x + b

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Answer:

y = - \frac {4} {3947} x + \frac {51335} {3947}

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