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expeople1 [14]
3 years ago
5

Solve for |4x+3| < 9

Mathematics
1 answer:
julsineya [31]3 years ago
7 0
Under the absolute value could be positive or negative number, but absolute value make them both positive.
For positive number we can write is (4x+3) and for negative  -(4x+3)
 4x+3<9
4x< 6
x< 3/2    (-∞, 3/2)

 -(4x+3)<9
-4x-12<9
-4x<21
x>-21/4        (-21/4, +∞)

 (-∞, 3/2)∩  (-21/4, +∞) =(-21/4, 3/2) it could be written as (-5.25,  1.5)

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  3. Exponents
  4. Multiplication
  5. Division
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  • Left to Right<u> </u>

<u>Algebra I</u>

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Derivative Notation

Basic Power Rule:

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Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle y = \frac{3}{2x^2}<u />

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<u>Step 2: Differentiate</u>

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  2. Basic Power Rule:                                                                                             \displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}
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<u>Step 3: Solve</u>

  1. Substitute in coordinate [Derivative]:                                                              \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}
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Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

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