Question

how would you solve this inequality?

Answer 1

\[5>\sqrt{2y+7}\]

Answer 2

square both sides to remove the radical sign...

Answer 3

so then it would be 25>2y+7?

Answer 4

after which you can proceed the usual way of solving inequality...

Answer 5

would the answer be 9>y?

Answer 6

i mean y>9

Answer 7

You were right before you corrected it.

Answer 8

yup... you can check it for any values of y>9....

Answer 9

9>y

and also you have to make sure 2y+9>0 - since you can't take the square root of a negative number

Answer 10

oh yes i agree with @agent0smith ...

Answer 11

oh okay i see, thank you!

Answer 12

since if you just have 9>y, you could choose something like y=-10, then 2y+7 will be -13, which doesn't have a real solution

Answer 13

the range of y must be -4<y<9 to satisfy the original inequality... to assure that 5 > sqrt(2y + 7)...

Answer 14

2y+9>0 would give y>-4.5, not -4, but otherwise you're right :)