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lara31 [8.8K]
2 years ago
6

Solve and write and answer in interval nation. 5n - 13 < 4n - 10

Mathematics
1 answer:
ElenaW [278]2 years ago
8 0

Answer:

(-∞, 3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Interval Notation - [Brackets] mean inclusion, (Parenthesis) means exclusion

Step-by-step explanation:

<u>Step 1: Define</u>

5n - 13 < 4n - 10

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. [Subtraction Property of Equality] Subtract 4n on both sides:                    n - 13 < -10
  2. [Addition Property of Equality] Add 13 on both sides:                                 n < 3

Here we see that any value <em>n</em> smaller than 3 would work as a solution to the inequality.

∴ our interval is (-∞, 3)

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