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29 votes
29 votes
Tell whether -3 is a solution of the inequality
3-4r >_ 15


User Ludovica
by
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1 Answer

14 votes
14 votes

Answer:

-3 is a solution.

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

Explanation:

Step 1: Define

3 - 4r ≥ 15

Step 2: Solve for r

  1. [Subtraction Property of Equality] Subtract 3 on both sides: -4r ≥ 12
  2. [Division Property of Equality] Divide -4 on both sides: r ≤ -3

Step 3: Compare

  1. Substitute in r: -3 ≤ -3

This is true. -3 is less than or equal to -3.

User Rhayene
by
3.3k points