Question

Solve for This inequality

8-1/4n>20

Answer 1

n = -7

Explanation:

One solution was found :

n = -7

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

8*(1+n)-(-20+4*n)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

8 • (n + 1) - (4n - 20) = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4n + 28 = 4 • (n + 7)

Equation at the end of step 3 :

4 • (n + 7) = 0

Step 4 :

Equations which are never true :

4.1 Solve : 4 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2 Solve : n+7 = 0

Subtract 7 from both sides of the equation :

n = -7

One solution was found :

n = -7

Answer 2

`\text{Solve the inequality:}\\\\8-(1)/(4)n>20\\\\\text{Subtract 8 from both sides}\\\\-(1)/(4)n>12\\\\\text{Multiply both sides by 4 to cancel the denominator}\\\\-n>48\\\\\text{Divide both sides by -1, while flipping the inequality sign, since you're}\\\text{dividing by a negative}\\\\\boxed{n<-48}`