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in Linear Equations by (15.9k points)

Solve the following systems of linear in equations:

-12 < 4 - \(\frac{3{\text{x}}}{-5}\) ≤ 2

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1 Answer

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by (15.3k points)

 -12 < 4 - \(\frac{3{\text{x}}}{-5}\)  and  4 - \(\frac{3{\text{x}}}{-5}\) ≤ 2

When,

 -12 < 4 - \(\frac{3{\text{x}}}{-5}\) 

 4 - \(\frac{3{\text{x}}}{-5}\) ≤ 2

Subtracting 4 from both the sides in above equation

4 –\(\frac{3{\text{x}}}{-5}\) -4 > 12 – 4

\(\frac{3{\text{x}}}{-5}\) > -16

\(\frac{3{\text{x}}}{5}\) > -16

Multiplying both the sides by 5 in the above equation

(\(\frac{3{\text{x}}}{5}\))(5) > -16(5)

3x > -80 

Dividing both the sides by 3 in above equation

Subtracting both the sides by 4 in the above equation

Multiplying both the sides by 5 in the above equation 

3x ≤ -10 

Dividing both the sides by 3 in the above equation

Therefore: 

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