camryn97
camryn97 camryn97
  • 13-10-2019
  • Mathematics
contestada

3p-2 greater than or equal to 4 or 7p>-28

Respuesta :

gmany
gmany gmany
  • 13-10-2019

Answer:

[tex]\large \boxed{\boxed{p>-4}}}[/tex]

Step-by-step explanation:

[tex]3p-2\geq4\ or\ 7p>-28\\\\(1)\\3p-2\geq4\qquad\text{add 2 to both sides}\\3p-2+2\geq4+2\\3p\geq6\qquad\text{divide both sides by 3}\\\dfrac{3p}{3}\geq\dfrac{6}{3}\\\boxed{p\geq2}\\\\(2)\\7p>-28\qquad\text{divide both sides by 7}\\\dfrac{7p}{7}>-\dfrac{28}{7}\\\boxed{p>-4}\\\\\text{From (1) and (2) we have:}\\\\p\geq2\ or\ p>-4\Rightarrow \boxed{\boxed{p>-4}}[/tex]

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