Question

Solve for n please, with work , thank you!

Answer 1

Hi there! the answer should be n > 6 :))

Answer 2

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

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

• 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.

$\sf \: n>\frac{30}{5}$

• Divide 30 by 5 to get 6.

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