Question

solve the inequality

Answer 1

thats right thanks

Answer 2

i forgot lol

Answer 3

Np. Good luck with your hw

Answer 4

the expression on the left is negative (less than zero) if the top is minus and the bottom plus or vice versa

you need x+2 ≤ 0 and x-5>0 (top negative, bottom plus)
this gives x ≤ -2 and x>5 which is not possible
or
x+2≥0 and x-5<0
which gives x ≥ -2 and x < 5 which is possible
-2 ≤ x < 5

Answer 5

Phi is correct. My apologies for rushing the answer.

Answer 6

interval notation would look like [-2,0) U [0,5)

Answer 7

one way to do these problems is plot the "zeros"
x+2=0 when x= -2
x-5 = 0 when x = 5
then label the region below -2 (both negative ---> positive ---> bigger than 0)
-2 to 5 , top +, bottom - --> negative --> < 0 this is the region you want
5 to infinity --> top +, bottom + --> positive --> bigger than 0

Answer 8

I would just write [-2, 5)

Answer 9

i understand the problem and the way you explained it thanks for your time @phi and @Plissken