Question

Which conjunction or disjunction is equivalent to the given absolute value inequality? |x + 5| > 18

x + 5 > 18 or x + 5 < -18

x + 5 > 18 and x + 5 < - 18

x + 5 < 18 or x + 5 > - 18

x + 5 < 18 and x + 5 > - 18

Answer 1

I'm pretty sure it's not
x + 5 < 18 or x + 5 > - 18
or
x + 5 < 18 and x + 5 > - 18.
I think it might be
x + 5 > 18 and x + 5 < - 18. Am I right?

Answer 2

conjunction is and disjunction is or

Answer 3

|stuff| > number

then

stuff < -number or stuff > number

Answer 4

HEY @agent0smith I thought you didn't know about disjunction and conjunction... you didn't help me earlier lol >:P

Answer 5

Eg. | a+b | > y

then

a + b < -y or a+b > y

@UsukiDoll i know how to solve abs value inequalities... i mostly ignore the words :P

Answer 6

wait wait wait.. apply the absolute value laws.. we have two different equations either...

x+ 5 > 18
or
x+ 5 < -18

Answer 7

I just see
"blah blah blah equivalent to the absolute value inequality"
and I start doin things

Answer 8

first one ?

Answer 9

grrrrr! *rubs @agent0smith 's hair*

Answer 10

hahaha :D

I tell my students that all the time.

Step 1. (insert math speak)
Step 2. Solve. Do stuff.