Step by step
The question
Question: is (2, 1) a solution of y > x + 1 and x + y < 5.
① y > x + 1 and ② x + y < 5
is (2, 1) a solution?
1 Read x and y
The first number is always x.
The second is y.
So x = 2 and y = 1.
(2, 1) → x = 2, y = 1
Careful!
Do not swap them.
The first number in (2, 1) is x.
Careful: not x = 1, y = 2 ✗
2 Check ①
①: Put x = 2 and y = 1 in.
1 >? 2 + 1
Work out each side.
Is 1 more than 3?
No.
That is false.
1 > 3 false ✗
3 Check ②
②: Put x = 2 and y = 1 in.
2 + 1 <? 5
Work out each side.
Is 3 less than 5?
Yes.
True!
3 < 5 true
① is false.
A solution must make both true.
So (2, 1) is not a solution of the system of inequalities.
(2, 1) is not a solution
Let's look back.
First: read x and y.
Then: check ①.
Last: check ②.
Answer
(2, 1) is not a solution