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Romashka-Z-Leto [24]
3 years ago
9

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

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

-3 is a solution.

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

3 - 4r ≥ 15

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

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

<u>Step 3: Compare</u>

  1. Substitute in <em>r</em>:                                                                                                   -3 ≤ -3

This is true. -3 is less than <em>or equal to</em> -3.

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Y=2x−1
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Answer:

(1,1) is a solution of the system.

Step-by-step explanation:

Let's solve the system.

y = 2x - 1

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In the first equation, y is already separated as a function of x. So we replace in the second equation;

5x - 4(2x - 1) = 1

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4 - 1 = 8x - 5x

x = 1

y = 2x - 1 = 2(1) - 1 = 1

(1,1) is a solution of the system.

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Step-by-step explanation:

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