solution example with linear inequality

1. How to tell if a point is a
solution…
M3L1

2. Inequalities
With every lesson there is always one question that is a common missed one. This lesson goes
over the most missed question on Module 3 Lesson 1.
The question is about identifying which of the given points is a solution to the inequality.

3. Try this one…
Given the inequality 2x-3y<10, which of the given points is a solution?
A) (8, 2)
B) (9, 1)
C) (-2, -5)
D) (5, 3)

4. Plug in x&y and see which one is true
A) 2(8)-3(2)<10
16-6<10
10<10 False (10 is not less than 10)
B) 2(9)-3(1)<10
18-3<10
15<10 False
C) 2(-2)-3(-5)<10
-4+15<10
11<10 False
D) 2(5)-3(3)<10
10-9<10
1<10 TRUE

5. And the answer is….
D! Since none of the others made a true statement, the answer is D!

6. Now you try…
Given the inequality y<5x-9, which point is a solution?
A) (0,0)
B) (-3, 8)
C) (5, -6)
D) (0, 7)

7. Work
A) 0<5(0)-9
0<0-9
0<-9 False
B) 8<5(-3)-9
8<-15-9
8<-24 False
C) -6<5(5)-9
-6<25-9
-6<16 TRUE
D) 7<5(0)-9
7<0-9
7<-9 False

8. And the answer…
C!!! It is the only one that makes a true statement