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.