michellebreshears451 michellebreshears451
  • 05-02-2019
  • Mathematics
contestada

Solve the inequality. Write the inequality in interval​ notation.
9(t-2)>3(t-7)

Respuesta :

gmany
gmany gmany
  • 08-02-2019

Answer:

[tex]\large\boxed{t>\dfrac{1}{2}\to t\in\left(\dfrac{1}{2},\ \infty\right)}[/tex]

Step-by-step explanation:

[tex]9(t-2)>3(t-7)\qquad\text{use distributive property}\\\\(9)(t)+(9)(-2)>(3)(t)+(3)(-7)\\\\9t-18>3t-21\qquad\text{add 18 to both sides}\\\\9t>3t-3\qquad\text{subtract 3t from both sides}\\\\6t>3\qquad\text{divide both sides by 6}\\\\t>\dfrac{3}{6}\\\\t>\dfrac{1}{2}[/tex]

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