Inequalities

[davehogan]

I have to solve the inequality: IxI - 2 < 0. (The "I I" is supposed to represent the modulus symbol, but I can't find it on my PC.) I make the answer "x=2" as follows:

1. -0<IxI-2<0
2. 2<x<2 Add 2 to both sides.
3. x=2

The answer given is: "-2 < x < 2"

Can anyone explain this for me, please ?

 

[srmichael]

I have to solve the inequality: IxI - 2 < 0. (The "I I" is supposed to represent the modulus symbol, but I can't find it on my PC.) I make the answer "x=2" as follows:

1. -0<IxI-2<0
2. 2<x<2 Add 2 to both sides.
3. x=2

The answer given is: "-2 < x < 2"

Can anyone explain this for me, please ?

Remember, |x| can be either x or -x.

Now try.

 

[davehogan]

Got it. Thanks.

 

[stapel]

The "I I" is supposed to represent the modulus symbol, but I can't find it on my PC.

Look on your keyboard, probably just above the "Enter" key. The "shift" character on the "backslash" key (which inserts "\" into your text) should be the "pipe" character: |

Note: The "pipe" character may look "broken" on your keyboard; despite this, it should type the correct character.