Option D:
The solution of the inequality p is –1, 0, 1, 2, 3, ...
Solution:
Given inequality is p ≥ –1.
To find the solution for the inequality.
p ≥ –1 means the value of p is greater than or equal to –1.
That is p can be –1, 0, 1, 2, 3, ...
Now find which option is correct:
Option A:
In this inequality, the solution is –1, –2, –3, ...
–3 and –2 are less than –1.
But p is greater than –1.
So, it is not the solution of the inequality.
Option B:
In this inequality, the solution is 0, 1, –1, –2, –3, ...
Here 0 > –1 and 1 > –1 but –3 and –2 are less than –1.
So, it is not the solution of the inequality.
Option C:
In this inequality, the solution is 0, 1, 2, 3, ...
Here 1 > –1 , 2 > –1 and so on.
But 0 is also greater than –1. This is missing in the graph.
So, it is not the solution of the inequality.
Option D:
In this inequality, the solution is –1, 0, 1, 2, 3, ...
Here –1 = –1, 0 > –1, 1 > –1, and so on.
This graph represents all the values of p.
So, it is the solution of the inequality.
Hence option D is the correct answer.
The solution of the inequality p is –1, 0, 1, 2, 3, ...