How do you solve $14< 5p + 4< 34$ ?

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Answer 1 · 2018-03-25T20:08:22

$=> 2 < p < 6$

What you do to one piece of this compound inequality you must do to each of the other pieces as well.

We start with:

$=>14 < 5p + 4 < 34$

We subtract $4$ from all parts:

$=>14-4 < 5p + 4 -4 < 34 -4$

$=> 10 < 5p < 30$

Now we divide all parts by $5$ :

$=> 10/5 < (5p)/5 < 30/5$

$=> 2 < p < 6$

How do you solve 14< 5p + 4< 3414< 5p + 4< 34?