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Solve for n please, with work , thank you!

Solve For N Please With Work Thank You class=

Sagot :

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[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )[/tex]

  • Solve the inequality algebraically.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )[/tex]

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

[tex] \sf1-3n>-1-8n+32 [/tex]

  • Add -1 and 32 to get 31.

[tex] \sf1-3n>31-8n [/tex]

  • Add 8n to both sides.

[tex] \sf1-3n+8n>31 [/tex]

  • Combine -3n and 8n to get 5n.

[tex] \sf1+5n>31 [/tex]

  • Subtract 1 from both sides.

[tex] \sf5n>31-1 [/tex]

  • Subtract 1 from 31 to get 30.

[tex] \sf5n>30 [/tex]

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

[tex] \sf \: n>\frac{30}{5} \\ [/tex]

  • Divide 30 by 5 to get 6.

[tex] \boxed{ \boxed{ \bf \: n>6 }}[/tex]
hi there! the answer should be n > 6 :))
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