Question

solve 4+|t+2|<11

Answer 1

Hi there :)
Welcome to openstudy!
First lets get rid of the 4
4+|t+2|<11
Subtract 4 from both sides
4- 4+|t+2|<11-4
What is 11-4?

Answer 2

11-4 is 7

Answer 3

Good :)
4- 4+|t+2|<11-4
Now we have
|t+2|<7
Absolute values have two solutions 1 positive and one negative
so,
t+2=7 <---this will be the + solution
t+2=-7 <---- this is the - solution
solve both for t

Answer 4

5 and -9

Answer 5

Perfect now write it out as an answer
e.g : t < 5
do the other one

Answer 6

t>-9

Answer 7

We only flip the sign when we DIVIDE by a negative so,
t < 5
t < -9

Answer 8

oh okay

Answer 9

thank you for your help

Answer 10

yw ^.^