How do you solve and write the following in interval notation: 8- 5x<=23?

1 Answer
May 25, 2017

[-3,+oo)

Explanation:

"Isolate " -5x" by subtracting 8 from both sides"

cancel(8)cancel(-8)-5x<=23-8

rArr-5x<=15

"divide both sides by - 5"

color(blue)"Note ""when multiplying/dividing an inequality"
"by a negative quantity, the inequality sign is "color(red)"reversed"

(cancel(-5) x)/cancel(-5)>=15/(-5)larrcolor(red)" reverse sign"

rArrx>=-3" is the solution"

[-3,+oo)larr" in interval notation"