Chapter 0.6, Problem 22E

To determine

To solve the equation $-3n-8>2n+7$

Answer to Problem 22E

  $n<-3$

Explanation of Solution

Given Information: $-3n-8>2n+7$

Formula Used : Linear inequality with one variable

Calculation:

Given equation is

  $-3n-8>2n+7$

To isolate the variable n, subtracting 2n both sides-

  $-3n-2n-8>2n-2n+7$

This gives -

  $-5n-8>7$

To isolate the variable n, adding 8 both sides-

  $-5n-8+8>7+8$

This gives-

  $-5n>15$

To isolate the variable n, divide by 5 both sides-

  $-\frac{5}{5}n>\frac{15}{5}$

This gives-

  $-n>3$

To isolate the variable a, multiply by $-1$ both sides and the inequality sign changes-

  $n<-3$

Hence the final answer is,

  $n<-3$