Wow, can someone help me please? Thanks!

Question

1135 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-09T00:50:59

The solution is A.

#2| x + 1/3 | < 9 #

We must solve this for both a positive and negative value in the absolute bars.

For positive value in bars, just remove them.

#2(x + 1/3 ) < 9#

Multiply by 2:

#2x + 2/3 < 9#

Multiply by #3#

#6x + 2 < 27#

Subtract #2# and divide by #6#

#x < # 4#1/6#

For negative value in bars:

#2(-(x + 1/3 )) < 9#

#2(-x - 1/3) <9#

#-2x - 2/3 < 9#

Multiply by 3

#-6x -2 < 27#

Add 2 and divide by #-6# (reverse inequality sign because of division by negative value)

#x > -# 4#5/6#

#-#4#5/6< x < # 4#1/6#

Dark blue represents included values.

enter image source here