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Solve and write and answer in interval nation.

5n - 13 < 4n - 10

Solve And Write And Answer In Interval Nation 5n 13 Lt 4n 10 class=

Sagot :

Space

Answer:

(-∞, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

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

Equality Properties

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

Algebra I

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

Step-by-step explanation:

Step 1: Define

5n - 13 < 4n - 10

Step 2: Solve for n

  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 n smaller than 3 would work as a solution to the inequality.

∴ our interval is (-∞, 3)

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