# How do you solve and graph #(3 ( x - 5 )) / 4 > x + 1#?

##### 1 Answer

Aug 28, 2015

#### Explanation:

Your goal here is to isolate

First, multiply the right-hand side of the inequality by

#(3(x-5))/4 > (x+1) * 4/4#

This is equivalent to

#3(x-5) > 4(x+1)#

Use the distributive property of multiplication to break up those parantheses

#3 * x - 3 * 5 > 4 * x + 4 * 1#

#3x - 15> 4x + 4#

This is equivalent to

#3x - 4x > 4 + 15#

#-x > 19#

Finally, multiply both sides by

#x < -19#

To graph this inequality, draw a **dotted vertical line** thorugh *to the left* of the line, since you need values of

graph{x < -19 [-58.5, 58.54, -29.26, 29.3]}