1Julia is solving an absolute value inequality in class and

has become stuck. Show Julia the next step and write down

the explanation for that step so she can reference it on other

problems.

Julia’s steps:

2|x+5|-3≤10

2|x+5|≤13

|x+5|≤6.5

2.After receiving his business degree from UNC-Chapel

Hill, John is offered positions with two companies. Company

A offers him $80,000 per year, with a $1,000 increase every

year. Company B offers him $60,000 per year with a 4%

increase every year. After how many years will the Company

B salary be higher than Company A?

Guest May 12, 2020

#1**+1 **

First one

We either have that

x + 5 ≤ 6.5 or x + 5 ≥ -6.5

Subtract 5 from both sides Subtract 5 from both sides

x ≤ 1.5 x ≥ -11.5

So....the solution is [ -11.5 ≤ x ≤ 1.5 ]

CPhill May 12, 2020

#2**+1 **

2.After receiving his business degree from UNC-Chapel

Hill, John is offered positions with two companies. Company

A offers him $80,000 per year, with a $1,000 increase every

year. Company B offers him $60,000 per year with a 4%

increase every year. After how many years will the Company

B salary be higher than Company A?

We can solve this :

80000 + 1000x = 60000(1.04)^x

A graph seems the best way to go here

See here : https://www.desmos.com/calculator/6uzj1wumyw

The graph shows that both companies will pay the same at about 10.4 years

So...Company B will pay more after about 11 years

CPhill May 12, 2020