Question

How are the solution sets to s<3 and |s|<3 different ?

Answer 1

Answer:

The solution set for $s<3$ would be (-∞,3)

The solution set for $|s|<3$ would be (-3,3)

Step-by-step explanation:

The solution set for $s<3$ can be any number that is lower than 3.

When we have the inequality  $|s|<3$, we need to rewrite this without the absolute values to find our answer

$|s|<3$

$s<$ ± $3$

This can be be split into $s<3, s<-3$

But, there one thing that needs to be done to the inequality with the-3. As we multiplied it by a -1 to make it negative, we must reverse the sign of the inequality. This leaves us with $s<3, s>-3$

Now, we can combine these to get one inequality

$-3<s<3$