dtalya339
dtalya339 dtalya339
  • 26-01-2021
  • Mathematics
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What is the largest integer that makes 4t - 42 - 18t > -14 true?​

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MalakYaqoot
MalakYaqoot MalakYaqoot
  • 26-01-2021

Answer:

[tex]t < - 2 \\ t = - 3[/tex]

Step-by-step explanation:

[tex]4t - 42 - 18t > - 14[/tex]

[tex]4t - 18t > - 14 + 42[/tex]

[tex] - 14t > 28[/tex]

[tex] \frac{ - 14t}{ - 14} < \frac{28}{ - 14} [/tex]

[tex]t < - 2[/tex]

[tex]if \: \: \: \: \: t = - 3[/tex]

[tex]4t - 42 - 18t { > }^{?} - 14[/tex]

[tex]4 \times - 3 - 42 - 18 \times - 3 { > }^{?} - 14[/tex]

[tex] - 12.6 > - 14[/tex]

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