Match each absolute value sentence with its equivalent compound sentence. a. |x - 2| 6 b. |x - 2|

Question

Match each absolute value sentence with its equivalent compound sentence. a. |x - 2| > 6 b. |x - 2| < 6 c. |x - 2| = 6 -6 < x - 2 < 6 x - 2 = 6 or x - 2 = -6 x - 2 > 6 or x - 2 < -6

jiteshmeghwal9 · Answer

sorry ! the case will be if there is a unknown quantity in mod then the answer will come both in positive & negative so$$\Huge{|x-2|>6} \space and \space |x-2|>-6$$

jiteshmeghwal9 · Answer

similarly do the case with b,c,d.

jiteshmeghwal9 · Answer

@Elov can u do it???

anonymous · Answer

I really don't get how I'm suppose to match these up D:

anonymous · Answer

Do you know what | x | means?

anonymous · Answer

Um.. An unknown variable, that's positive? I don't know. >.<

anonymous · Answer

:D It's ok. x represents unknown variable only but |x| convey some additional meaning. It's called absolute value of X represented by '|x|.

anonymous · Answer

The |x| would always be positive. That's absolute value. For eg |-3| = 3.

anonymous · Answer

Are you getting something?

anonymous · Answer

I understand that x is always positive, but I get confused when the absolute value has an inequality next to it.

ganeshie8 · Answer

okay. so you can solve c ?

anonymous · Answer

4?

anonymous · Answer

Ok. Let's take first question |x-2| >6. So if x-2 = -6 and x-2 = 6 would give us the value 6 rt?

anonymous · Answer

By taking the absolute value of |6|

anonymous · Answer

Can you solve it now?

anonymous · Answer

Is it 8?

anonymous · Answer

oh wait the second choice.