Pythagorean Theorem Formula Mathematics IX

MATH RULES:
M-ake yourself comfortable,
A-lways listen attentively,
T-ake notes as always, and raise your
H-and if you have want to answer or if you
have a questions.

FILL IN THE BLANK
Direction:
Write >, <, ≤, or ≥ in a space provided to make the
statement true.
1. 8 ________ 3
2. 2 + 4 ________ 6
3. 5 – 2 _________4
4. -2 ________-3
5. 1 – 4 _________-1

OBJECTIVES;
At the end of the lesson, learners are
expected to:
a. graphs linear inequality on the number
line;
b. illustrates the properties of inequality.

PROPERTIES OF
INEQUALITY
1. Transitive Property of Inequality

Let's say;
If 5 > 2 and 2 > 1 ,then 5 >
1.
Likewise,
If 1 < 2 and 2 < 5, then 1 <

2. Addition Property of Inequality
If a > b , then a + c > b + c.
Likewise,
If a < b, then a + c < b + c.

For instance,
If x + 2 > 2, then x + 2 + 1 > 2 + 1
likewise,
If 2 < x + 2, then 2 + 1 < x + 2 +1

Another example;
If x + 3 > 4, then x + 3 + (-2) > 4 + (-2)
likewise,
If 4 < x + 3, then 4 + (-2) < x + 3 + (-2)

3. Multiplication Property of Inequality
If a > b and c > 0, then ac > bc.
If a < b and c < 0, then ac < bc.
If a = b and c = 0, then ac = bc.

For instance;
If 2 < 3, then 2(2) < 3(2).
If 3x > 3, then 3x
𝟏
𝟑
> 3
𝟏
𝟑
.
If
𝒙
𝟑
< 𝟒, then
𝑥
3
𝟑 < 𝟒 3 .

-2 -1 0 1 2 3 4 5 6 7 8
Graph the following linear inequality on
number line.
-2 -1 0 1 2 3 4 5 6 7 8
1. x > 3
2. x ≤ 4

Identify the properties of inequality of the
given statement.
1. If 2 > 0 and 0 > -2, then 2 > -2.
Transitive Property of Inequality
2. If 2 < 4, then 2 + 15 < 4 + 15
Addition Property of Inequality
3. If -1 > -16, then -1(8) > -16(8)
Multiplication Property of Inequality

Multiple Choice:
Choose the letter of the correct
answer.

1. What is the graph of a linear inequality x ≥ 5?
a.
0 1 2 3 4 5 6 7 8 9
b. .
2 3 4 5 6 7 8 9 10 11
c. . .
1 2 3 4 5 6 7 8 9 10
d. .
0 1 2 3 4 5 6 7 8 9

2. Using the figure 1.1, determine its linear inequality.
.
-2 -1 0 1 2 3 4 5 6 7
Fig. 1.1
a. x ≤ 2 c. x > 2
b. x ≥ 2 d. x < 2

3. When 2 < 6, and 6 < 8 then 2 < 8, the
property of inequality is ____________?
a. Transitive Property of Inequality
b. Addition Property of Inequality
c. Multiplication Property of Inequality
d. Subtraction Property of Inequality

4. What property of inequality if
𝑥
3
<
4, then
𝑥
3
3 < 4(3)?

5. When x + 6 > 2 is added each of the
side by 5, the property is called ______?

ASSIGNMENT
Direction: Identify the properties of inequality
in the given statement.
1.If x 5, then 5x < 25
2.If 2y > 8, then y > 4
3.If x – 4 < 8, then x < 12
4.If a > b, and b > 2 then a > 2
5.If 4a + b > 12, then 4a > 12 - b

Pythagorean Theorem Formula Mathematics IX

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