Answer:
[tex]y\geq -1[/tex]
see the explanation
Step-by-step explanation:
we know that
'The algebraic expression of the given problem is equal to
[tex]7y+1\geq y-5[/tex]
solve for y
subtract y both sides
[tex]7y+1-y\geq y-5-y[/tex]
[tex]6y+1\geq -5[/tex]
subtract 1 both sides
[tex]6y+1-1\geq -5-1[/tex]
[tex]6y\geq -6[/tex]
Divide by 6 both sides
[tex]y\geq -1[/tex]
The solution is the interval [-1,∞)
All real numbers greater than or equal to -1
