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  • 12-10-2018
  • Mathematics
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50q + 43 > −11q + 70

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calculista
calculista calculista
  • 19-05-2019

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

[tex]50q+43 > -11q+70[/tex]

Solve for q

Adds 11 q both sides

[tex]50q+43 +11q > 70[/tex]

[tex]61q+43 > 70[/tex]

Subtract 43 both sides

[tex]61q > 70-43[/tex]

[tex]61q > 27[/tex]

Divide by 61 both sides

[tex]q > \frac{27}{61}[/tex]

The solution is the interval ------> (27/61,∞)

All real numbers greater than 27/61

In a number line the solution is the shaded area at right of 27/61 (open circle)

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