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skad [1K]
3 years ago
8

Solve the inequality: 14.3 > 5(z- 2) - 2.1

Mathematics
1 answer:
natta225 [31]3 years ago
3 0

Answer:

z < 5.28

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
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

14.3 > 5(z - 2) - 2.1

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

  1. Distribute 5:                          14.3 > 5z - 10 - 2.1
  2. Subtract:                                14.3 > 5z - 12.1
  3. Add 12.1 on both sides:        26.4 > 5z
  4. Divide 5 on both sides:        5.28 > z
  5. Rewrite:                                 z < 5.28

Here we see that any value <em>z </em>smaller than 5.28 would work as a solution to the inequality.

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