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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Middle/High School Algebra, Geometry, and Statistics (AGS)
2.12 Solving Inequations - II

Example: Solve 2(x+3) < 5 (x-3).
Solution: 2x+6 < 5x-15.
Add -6 to both sides, we get
2x + 6 - 6 < 5x - 15 -6
2x < 5x - 21
Add -5x to both sides, we get
2x - 5x < 5x -21 -5x
-3x < -21
Divide both sides by -3.
-3x/-3 > -21/-3
x > 7
\ Any number > 7 is a solution.

Verification: Substituting x = 8 > 7
L.H.S. = 2(x+3) = 2(8+3) = 2*11 = 22
R.H.S. = 5(x-3) = 5(8-3) = 5 * 5 = 25
\ 22 < 25
\ 8 > 7 is a root.
Similarly we can show that any number greater than 7 is a root.


Directions: Solve the following inequality. Also write at least ten examples of your own.
Q 1: Solve 4(x + 2) < 6(x - 2).
x < 8
x > 5
x < 10
x > 10

Q 2: Solve 5(x + 2) < 7(x - 2).
x < 15
x < 12
x > 12
x > 20

Q 3: Solve 2(x + 7) < 9(x - 7).
x > 4
x > 11
x < 5
x < 11

Q 4: Solve 5(x + 4) < 9(x - 4).
x < 14
x < 13
x > 14
x > 15

Q 5: Solve 5(x + 3) < 8(x - 3).
x < 13
x > 13
x < 10
x > 12

Q 6: Solve 2(x + 4) < 6(x - 4).
x < 0
x > 0
x < 8
x > 8

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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