HELP .

For each of the given statements:

• Determine the values of x for which each statement is true.

• Show the set of all points corresponding to the values of x on a number line.

x=|x|

HELP#2 .

Janet can do a job in 3 hours while Garry can do the same job in 2 hours. If Janet works for an hour before Garry began helping her, how long will it take them to do the job?

Guest Aug 15, 2019

#1**+2 **

\(x=|x| \Rightarrow x \in [0, \infty)\)

\(\text{Janet's rate is $\dfrac{1}{3}~ job/hr$}\\ \text{Garry's is $\dfrac{1}{2}~job/hr$}\\ \text{Janet works an hour and gets $\dfrac 1 3$ of the job done}\\ \text{Garry joins her and they work at the rate of $\dfrac 1 3 + \dfrac 1 2 = \dfrac 5 6~job/hr$ on the remaining $\dfrac 2 3$ of the job}\\ \text{It takes them $\dfrac{\frac 2 3}{\frac 5 6} = \dfrac 4 5~hr$ to complete the job}\)

.Rom Aug 15, 2019