INEQUALITY
Complete the table.
Symbols Meaning Graph Example
More than
> Greater than
0
< -1 𝑥 < −1
Greater than or equal
≥ Is no less than 𝑥≥5
At least
Less than or equal
Is no more than
-4 𝑥 ≤ −4
At most
SOLVING LINEAR INEQUALITY
Identify the correct solution.
Solution A Solution B
2(𝑥 − 5) ≤ 4𝑥 + 6 2(𝑥 − 5) ≤ 4𝑥 + 6
2𝑥 − 10 ≤ 4𝑥 + 6 2𝑥 − 10 ≤ 4𝑥 + 6
2𝑥 − 4𝑥 ≤ 10 + 6 2𝑥 − 4𝑥 ≤ 10 + 6
−2𝑥 ≤ 16 −2𝑥 ≤ 16
𝑥 ≤ −8 𝑥 ≥ −8
Identify the Parts of Cartesian Plane:
Axis and Quadrant
Then Plot the Points
(2,-1) (4,5) (0,0) (-1,6)
Word Problem involving Linear Inequality
Solve the Problem
A sports club requires each member to contribute ₱ 500 for
new basketballs. The total contribution must be at least ₱
10 000.
What is the inequality model?
𝐴. 500𝑥 ≤ 10 000 𝐵. 500𝑥 ≥ 10 000
Solve for the total contribution. (x = ?) Graph
Write the Set builder Notation and Interval Notation.
Identify if it is a Linear Equation or Not
√𝑥 + 𝑦 = −2 2(𝑥 + 𝑦) = 3𝑦 + 4 𝑦 = −2𝑥
𝑥
𝑥𝑦 + 2𝑦 = 0 0𝑥 + 2𝑦 = 9 +7 =𝑦
2
Linear Equation Not a Linear Equation
Solution of Linear Equation in Two Variables
Identify if it is a SOLUTION or NOT
2𝑥 + 𝑦 = 10
(3, 4) (5, 2) (0,10) (4,1)
Completing ordered pair. Use same equation.
( 0, __ ) ( __, 4 ) ( ___, 2) ( 2, ___)
Anna’s scores in her first three math quizzes are 78, 84, and 92. What must she get on her
fourth quiz to have an average of at least 85?
Representation: Inequality:
Solution:
Conclusion:
