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MA_775_DIABLO [31]
3 years ago
5

Solve the inequality 2x + 8 < 5x − 4.

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0

The answer should be X>4

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

                    2*x+8-(5*x-4)<0  

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -3x + 12  =   -3 • (x - 4)  

Equation at the end of step  1  :

Step  2  :

2.1    Divide both sides by  -3  

Remember to flip the inequality sign:  

Solve Basic Inequality :

2.2      Add  4  to both sides

            x > 4


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