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Problem: A carpenter will build a house which has a floor area that is greater than
35 m2. He was instructed that the house to be built has a length which is 2 meters
longer than its width.

1. What is the mathematical sentence to be used in the given problem?

2. What is the possible dimension of the house to be built?

3. How did you come up with your answer?


Find the solution set of the following quadratic inequalities, then graph.
1. x² - 6x + 5 > 0
2. 2x² ≥ 98
3. x² + 6x ≤ -8
4. 2x² - 7x + 3 < 0
5. -x² - 12x ≤ 32

SORRY PO KUNG MAHABA :(( NEED KO PO TALGA (╥﹏╥)
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Sagot :

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[tex]\large\tt\color{darkblue}{Problem:}[/tex]A carpenter will build a house which has a floor area that is greater than 35 m2. He was instructed that the house to be built has a length which is 2 meters longer than its width.

1. What is the mathematical sentence to be used in the given problem?

  • A floor area is greater than 35m². The length is 2 meters longer than it's width.

2. What is the possible dimension of the house to be built?

  • The formula for the area of a rectangle:
  • Area = Length × Width
  • Set the Width to x, so length to (x+2)

x(x+2) > 35

(x-5) (x+7) > 0

x < -7 or X > 5

  • The possible dimension of the house to be bulit is 48. {when x = b, Width = b, length = 8}
  • The Answer Is 48m²

3. How did you come up with your answer?

  • All as illustrated in 2.

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"The highlighted letters or numbers are the answers"

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