Solve the following systems of linear in equations: 5x – 7 < (x + 3), 1 – 3x/2 ≥ x - 4

Question

Solve the following systems of linear in equations:

5x – 7 < (x + 3), 1 – ^{\(\frac{3x}{2} \ge\)} x – 4

Answer 1

When, 

5x – 7 < x + 3 

Adding 7 to both the sides in the above equation 

5x – 7 + 7 < x + 3 + 7 

5x < x + 10 

Now, subtracting x from both the sides 

5x – x < x + 10 -x 

4x < 10 

Dividing both the sides by 4 in above equation

Now when,

Subtracting 1 from both the sides in the above equation

Now multiplying both the sides by 2 in the above equation

Now subtracting 2x from both the sides in the above equation 

-3x – 2x ≥ 2x -10 – 2x 

-5x ≥ -10 

Now, multiplying both the sides by -1 in the above equation 

-5x(-1) ≥ -10(-1) 

5x ≤ 10 

Now, dividing both the sides by 5 in the above equation