When the solution of [tex]a+b>-4 \; is \; a>-9[/tex], then the value of b is 5
Given :
the solution of inequality [tex]a+b>-4 is a>-9[/tex]
We need to find the value of b
[tex]a+b>-4\\[/tex]
Subtract b on both sides and solve for 'a'
[tex]a+b-b>-4-b\\a>-4-b[/tex]
we know that the solution is a>-9
Lets equation both the solutions
[tex]-4-b=-9\\[/tex]
Add 4 on both sides
[tex]-4-b+4=-9+4\\-b=-5\\divide \; by\; -1\\b=5[/tex]
So, the value of 'b' is 5
Learn more : brainly.com/question/2482500
