the cruise control of megan's truck is set at 65 miles per hour, but her actual speed may vary by as much as 5 miles per hour. write an inequality that can be used to determine the actual speeds at which megan could be traveling

Question

anonymous · Answer

$$
|v - 65| \leq 5
$$

abb0t · Answer

I hope there's no cops around megan, she might get a ticket driving at such high speeds.

anonymous · Answer

thanks @wio

anonymous · Answer

@brokenbells83 Do you understand the inequality?

anonymous · Answer

@wio to be honest ... not really

anonymous · Answer

Basically, if you have two values, $v$ her actual speed and $65$ her typical speed, and you have an some error boundary $5$, then it's expressed like :$$
|v-65| \leq 5
$$Because this is the same as: $$
-5 \leq v-65 \leq 5
$$And adding $65$ to both sides: $$
65-5 \leq v \leq 65+5
$$So her actual speed is in between 5 less than 65    and   5 more than 65