Practice material

2. Word
“INEQUALITY”

3. QUADRATIC
INEQUALITY
Here starts the
lesson!

4. OBJECTIVE/S:
1. Identify and describe quadratic inequalities using practical
situations and mathematical expressions.
2. State and illustrate quadratic inequalities.
3. Demonstrate understanding in illustrating quadratic inequalities

5. JIGSAW
PUZZLE
ACTIVITY 2

7. Quadratic Equation Not Quadratic Equation

8. Quadratic Equation Not Quadratic Equation

9. A statement that one
mathematical expression is
greater than, greater than or
equal to, less than or less than or
equal.
An inequality that contains a
polynomial of degree 2.
Inequality
Quadratic
Inequalities
The standard form of quadratic
inequality can be represented
as:
𝑎𝑥2
+ bx + c > 0
a𝑥2
+ bx + c ≤ 0
a𝑥2
+ bx + c < 0
a𝑥2
+ bx + c ≠ 0
a𝑥2
+ bx + c ≥ 0
Where a, b and c are real numbers and a≠ 0.

10. LET US ANSWER THE FF.
QUESTIONS:
1. In our activity 2, the Jigsaw
Puzzle part, which of the following
is quadratic inequality?
2. Which of the three examples of
quadratic inequality is written in
the standard form?
3w2 + 12w ≥ 0
r2 + 10r ≤ – 16
(x - 5) (5x + 7) > 7
3w2 + 12w ≥ 0
3. Can you describe the
remaining two examples?
The inequality r2 + 10r ≤ – 16
and (x - 5) (5x + 7) > 7 are
quadratic but not written in the
standard form.

11. LET US ANSWER THE FF.
QUESTIONS:
4. How are we going to do to
make the r2 + 10r ≤ – 16 a
standard form?
Move all the terms to the left side.
We have,
r2 + 10r + 16 ≤ 0
5. How can you say that
(x - 5) (5x + 7) > 7 is quadratic
inequality?
The symbol used is an inequality
symbol.
6. How will you check if
(x - 5) (5x + 7) > 7 is quadratic?
What method should we use to
make (x - 5) (5x + 7) > 7 a
standard form?
5x2 + 7x – 25x – 35 > 7
5x2 + 7x – 25x – 35 – 7 > 0
5x2 – 18x – 42 > 0
We will use the FOIL METHOD.
(x - 5) (5x + 7) > 7
First Outer
Inner Last
5x2 + 7x – 25x – 35 > 7
5x2 + 7x – 25x – 35 – 7 > 0

12. TAMA KA, MAY
REWARD KA!
ACTIVITY 3

13. KENNETH
HEAVON
BRICE
Describe the given word :
Quadratic
Inequalities
It is an inequality that contains a
polynomial of degree 2.

14. KENNETH
HEAVON
BRICE
Describe the given word :
Inequality
A statement that one
mathematical expression is
greater than, greater than or equal
to, less than or less than or equal.

15. KENNETH
HEAVON
BRICE
Describe the given word :
Greater than
and
Less than
Greater than means the number or value on
the left is larger than the number on the right
while less than means the number or value
on the left is smaller than the number on the
right.
> <

16. KENNETH
HEAVON
BRICE
Describe the given word :
Not Equal
≠
It is used to show that one value is
not equal to another.

17. KENNETH
HEAVON
BRICE
Describe the given word :
Greater than or
equal to
and Less than or
equal to
≥ ≤
Greater than or equal to is used to show that
one quantity can be larger than to the other
quantity or equal to the other quantity while
less than or equal to is used to show that
one quantity can be smaller than to the
other quantity or equal to the other quantity.

18. As a Filipino Citizen and the Hope
of the Nation. How can you solve
inequalities in the Philippines?
ACTIVITY 3

19. Directions: Describe
the quadratic
inequalities by
completing the table.
Item number 1 is
done for you.
QUADRATIC
INEQUALITY
QUADRATIC
EXPRESSION
SYMBOL
1. 4p² + 2p > 12 4p² + 2p – 12 >
2. 5t² - 3t < 120
3. -45 ≥ x² + 32x
4. 100 ≠ 2x² + 25x
5. 25m² ≤ 150

20. Answer this question and write
your answer in a 1/2 sheet of
paper.
1. What is solution set?
2. How to solve Quadratic
inequalities?
Thank you!


21. KENNETH
HEAVON
BRICE

22. Neptune is the farthest planet
from the Sun and also the
fourth-largest by diameter in
the entire Solar System
Introduction

23. Features of
the Topic
Mercury
It’s the closest planet to
the Sun
Jupiter
It’s the biggest planet
Mars
Mars is actually a cold
place

24. GENO

25. Practical Uses
of This Subject Mercury
Mercury is the
closest planet to the
Sun
Jupiter
It’s a gas giant and
the biggest planet

26. Did You
Know This?
Factor 1
35%
Mercury is the
smallest one
65%
Jupiter is the
biggest one
Factor 2 Factor 3

27. 31,500
Big numbers catch your
audience’s attention

28. Problem
Neptune is the fourth-
largest planet in the
Solar System
Solution
Jupiter is a gas giant and
the biggest planet in the
Solar System

29. Process
Step 1 Step 2 Step 3 Step 4
Venus has a
beautiful name
Saturn is the ringed
planet
Mercury is the
smallest planet
Mars is a cold place

30. Insert Your
Multimedia
Content Here
Despite being red, Mars
is actually a cold place
full of iron oxide dust

31. Overview
Diagram
30%
Mercury is
smallest one
Venus is the
second one
Mars is a cold
place
Saturn has rings

32. Locations
Mars is a cold
place
Saturn has rings

34. Data Review
Study 1 Study 2 Study 3
0.3 1.2 4.5
1.4 0.6 7.8
Study 1 Study 2 Study 3
2.5 6.9 1.6
3.5 7.7 1.8

35. Review of Concepts
Mercury
Mercury is the
Smallest planet
Venus
Venus has a
beautiful name
Mars
Mars is actually a
cold place
Jupiter
It’s a giant and the
biggest one
Saturn
Saturn is the
ringed one
Neptune
Neptune is the
farthest planet

36. Exercise
Despite being red, Mars
is actually a cold place

37. Assignment

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