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Solve the inequality n + 20 < -42, and write the solution in interval notation.

User Cerad
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1 Answer

1 vote

Answer:

(-∞, -62)

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] denote inclusion, (Parenthesis) denote exclusion

Explanation:

Step 1: Define

n + 20 < -42

Step 2: Solve for n

  1. [Subtraction Property of Equality] Subtract 20 on both sides: n < -62

∴ Any number n smaller than -62 would work as a solution to the inequality. Our solution set in interval notation would be (-∞, -62).

User GetOffMyLawn
by
8.5k points

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