# How do you solve the inequality #(x +4) + (x+6)> 3x - 1#?

##### 1 Answer

Feb 4, 2016

#### Answer:

#### Explanation:

**1. Add like terms.**

#(x+4)+(x+6)>3x-1#

#2x+10>3x-1#

**2. Subtract 10 from both sides.**

#2x+10# #color(red)(-10)>3x-1# #color(red)(-10)#

#2x>3x-11#

**3. Subtract 3x from both sides.**

#2x# #color(red)(-3x)>3x# #color(red)(-3x)-11#

#-x# #># #-11#

**4. Divide both sides by -1.**

#-xcolor(red)(-:-1)# #># #-11color(red)(-:-1)#

#x>11#

**5. Flip the inequality sign.**

Whenever you divide by a negative number, you must flip the inequality sign, even if you divide a negative number by another negative number.

#color(green)(x<11)#