Question

Determine which of the following points is a solution to the inequality 3x + 9y < 18 i (2, 2) ii. (-3,-4) iii. (0.2)

Answer 1

Given the inequality:

`3x+9y<18`

to find which point is a solution to the inequality, there are 2 methods to solve :

by graphing or by substitution by the point in the given inequality

Solving by substitution :

1) point (2 , 2)

so,

`3\cdot2+9\cdot2=24>18`

So, this point is not a solution

2) Point (-3 , -4)

`3\cdot-3+9\cdot-4=-45<18`

This point is a solution

3) Point (0 , 2)

`3\cdot0+9\cdot2=18`

So, this point is not a solution

Another sol