Help! Will fan and give medal

Question

mtalhahassan2 · Answer

Ok I will

anonymous · Answer

attachment

ganeshie8 · Answer

Look at the graph.
What part of it is shaded blue ?

anonymous · Answer

-2

anonymous · Answer

Its something like  $$-2 \le x$$

anonymous · Answer

right?

ganeshie8 · Answer

also everything before -2  is shaded blue
so the inequality that represents the shaded region is $x\le -2$

anonymous · Answer

ah okay so the other way around. Got it. Just wanted to correct myself

ganeshie8 · Answer

good

$x\color{Red}{\le} -2$ 

is read as 

$x ~\color{red}{\text{less than or equal to}} -2 $

anonymous · Answer

Right right yes Thanks! @ganeshie8 
Hey do you mind checking this if im right?

ganeshie8 · Answer

Very close! 
Inequality for left shaded region is correct, but the other part isn't

ganeshie8 · Answer

Oh no wait, left part is starting at $-2$, yes ?

anonymous · Answer

Right right yes Thanks! @ganeshie8 
Hey do you mind checking this if im right?

ganeshie8 · Answer

so whatss ur updated answer?

anonymous · Answer

Uhh im going with $$x \ge 3$$

ganeshie8 · Answer

That is correct for the right side shaded part
what about the left side shaded part ?

anonymous · Answer

would the x be on the opposite side? so $$2<x$$  and$$x \ge3$$

ganeshie8 · Answer

Mope, $x$ represents any number in the shaded region. 

It should be 

$x\lt -2$

OR

$x\ge 3$

anonymous · Answer

ahh yes sorry I forgot the -2. alright now I get it! Thanks so much!

ganeshie8 · Answer

also you need to be careful about when to use OR, when to use AND

anonymous · Answer

so I shouldn't put, and ?

anonymous · Answer

I think when its split you use and. I dont know about or

ganeshie8 · Answer

anonymous · Answer

You are a life saver

anonymous · Answer

Thank you again, this will help

ganeshie8 · Answer

np:)