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nalin [4]
3 years ago
14

2(x-2) < 3x +8 What is the solution???

Mathematics
1 answer:
NeX [460]3 years ago
4 0

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    2*(x-2)-(3*x+8)<0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 2 • (x - 2) -  (3x + 8)  < 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -x - 12  =   -1 • (x + 12)  

Equation at the end of step  3  :

 -x - 12  < 0  

Step  4  :

4.1    Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     x+12  > 0

Solve Basic Inequality :

4.2      Subtract  12  from both sides

           x > -12

Inequality Plot :

4.3      Inequality plot for

        -x  - 12.000  <  0

 

 

One solution was found :

                  x > -12Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    2*(x-2)-(3*x+8)<0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 2 • (x - 2) -  (3x + 8)  < 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -x - 12  =   -1 • (x + 12)  

Equation at the end of step  3  :

 -x - 12  < 0  

Step  4  :

4.1    Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     x+12  > 0

Solve Basic Inequality :

4.2      Subtract  12  from both sides

           x > -12

Inequality Plot :

4.3      Inequality plot for

        -x  - 12.000  <  0

  One solution was found :

                  x > -12

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