Question

Which is the correct way to show that (2, 3) is a solution to the following system of

inequalities?

y - X > - 4
2y - 5
1. 3 - 2 > -4 TRUE
2(3) – 5 < 2 TRUE

2. 3 - 2 > - 4 TRUE
2(2) – 5 < 3 TRUE

3. 2 - 3 > - 4 TRUE
2(3) - 5 < 2 TRUE

Answer 1

Option 1.

Explanation:

Note: In second inequality "<x" is missing after 5.

Consider the given inequalities are

`y-x>-4`

`2y-5<x`

If (2,3) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (2,3).

Substitute x=2 and y=3 in the above inequalities and that should be true.

`3-2>-4\Rightarrow 1>-4` True

`2(3)-5<2\Rightarrow 1<2` True

Therefore, the correct option is 1.