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4x + 6 < 31 show all work

User Jessems
by
6.8k points

2 Answers

2 votes

Answer:

x < 25/4 or x < 6.25

Explanation:

subtract 6 from both sides

4x < 25

divide 4 from both sides

x < 25/4 = 6.25

User Matt Good
by
6.5k points
5 votes

Answer:

x < 25/4

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

Explanation:

Step 1: Define inequality

4x + 6 < 31

Step 2: Solve for x

  1. Subtract 6 on both sides: 4x < 25
  2. Divide 4 on both sides: x < 25/4

Here we see that any number x less that 6.25 would be a solution of the inequality.

User Katherine Williams
by
5.3k points