95.0k views
7 votes
1/2(12x+18)>99 what is the answer to this problem

1 Answer

8 votes

Answer:

x > 15

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

Explanation:

Step 1: Define

1/2(12x + 18) > 99

Step 2: Solve for x

  1. [Multiplication Property of Equality] Multiply 2 on both sides: 12x + 18 > 198
  2. [Subtraction Property of Equality] Subtract 18 on both sides: 12x > 180
  3. [Division Property of Equality] Divide 12 on both sides: x > 15

Here we see that any value x greater than 15 would work as a solution to the inequality.

User Flyingmeatball
by
6.0k points