sunnyogbuonuoha sunnyogbuonuoha
  • 24-03-2022
  • Mathematics
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Solve the inequality 4i−4(i+2)≥6(8i−8) and write the solution in interval notation

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goddessboi goddessboi
  • 24-03-2022

Answer:

[tex](-\infty,\frac{25}{24}][/tex]

Step-by-step explanation:

Assuming [tex]i[/tex] is a variable:

[tex]4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\\frac{50}{48}\geq i\\ \\\frac{25}{24}\geq i\\ \\i\leq\frac{25}{24}\\ \\(-\infty,\frac{25}{24}][/tex]

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