Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Solve (4 - x ≤ -1) ∩ (2 + 3x ≥ 17).

Sagot :

luana
[tex]4-x \leq -1\ \ \ | subtract\ 4\ \ \ \ \ and\ \ \ \ 2+3x \geq 17\ \ \ | subtract\ 2\\\\ -x \leq -5\ |*(-1)\ \ \ \ and\ \ \ \ 3x \geq 15\ \ | divide\ by\ 3\\\\ x \geq 5\ \ \ \ \ and\ \ \ \ x \geq 5\\\\ Solution\ is\ x\in[5,+\infty)[/tex]
the upside down 'U' shape means intersection which means find the terms that are in both of the groups so  for example (2,4,6,7) (upside down U shape) (3,5,7) the answer would be (7) because 7 is in both of the sets
< means less than or equal to
> means more than or equal to
so so 4-x<-1
if we convert this to x=something then
add x to both sides
4<x-1
add 1 to both sides
5<x

the second equation is 2+3x> 17
subtract 2 from both sides
3x>15
divide both sides by 3
x>5

so the intersection of 5<x and x>5 is 5<x>5 or 5<x so the solution set is x={x|x>5} or any number more than or equal to 5 will work
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.