Answer:
The solution set is given as:
B) [tex]\{x|x\epsilon R, x>-5\}[/tex]
Step-by-step explanation:
Given inequality:
[tex]x-5>-10[/tex]
To find the solution set for the given inequality.
Solution:
We have : [tex]x-5>-10[/tex]
Solving for [tex]x[/tex]
Adding 5 both sides.
[tex]x-5+5>-10+5[/tex]
[tex]x>-5[/tex]
Thus the solution set is all real numbers greater than -5. This can be given as:
[tex]\{x|x\epsilon R, x>-5\}[/tex]