Question

Which of the following points lie in the solution set to the following system of inequalities?
y is less than or equal to x-5
y is less than or equal to -x-4

a) (1,10)
b) (-1, 10)
c) (10, 1)
d) (1, -10)

Answer 1

Where do you have a problem? I'd be elated to help you.

Answer 2

What must I do to solve the problem?

Answer 3

You may try these:

1) \( \color{Black}{\Rightarrow 10 \le 1 - 5? }\)
\( \color{Black}{\Rightarrow 10 \le -1 - 4?}\)

2) \( \color{Black}{\Rightarrow y \le -1 - 5?}\)
\( \color{Black}{\Rightarrow y \le 1 - 5? }\)

Answer 4

Remember:
A solution set is just a pair of numbers that \(\textbf{satisfy}\) an inequality.

Answer 5

Also, a solution set is in the form \((x,y)\).

Answer 6

But what is the first step that I must take to solve this problem?