Question

Help I don't know the answer 2|x| < 10

Answer 1

Starting with

`2|x|<10`

Divide both sides by 2 to get

`|x|<5`

If
`x` is positive, this means

`x<5`

If
`x` is negative, this means

`-x<5 \iff x>-5`

So, we are looking for positive number smaller than 5, or negative numbers greater than -5. In other words, every number between -5 and 5 (both excluded) will satisfy the equation.