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Solve for n please, with work , thank you!

Solve for n please, with work , thank you!-example-1

2 Answers

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hi there! the answer should be n > 6 :))
User Dmytro Medvid
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2 votes


\huge \boxed{\mathfrak{Question} \downarrow}


\sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )

  • Solve the inequality algebraically.


\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}


\sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )

  • Use the distributive property to multiply -4 by 2n-8.


\sf1-3n>-1-8n+32

  • Add -1 and 32 to get 31.


\sf1-3n>31-8n

  • Add 8n to both sides.


\sf1-3n+8n>31

  • Combine -3n and 8n to get 5n.


\sf1+5n>31

  • Subtract 1 from both sides.


\sf5n>31-1

  • Subtract 1 from 31 to get 30.


\sf5n>30

  • Divide both sides by 5. As 5 > 0, the direction of the inequality remains the same.


\sf \: n>(30)/(5) \\

  • Divide 30 by 5 to get 6.


\boxed{ \boxed{ \bf \: n>6 }}

User Mohammad AlQanneh
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3.8k points