👤

Answer :

Supernovago

Answer:

2, 3, 4, 5, 6

Step-by-step explanation:

Let's break this inequality into two parts:

  • 3 < 3x - 1                    ←        Inequality I
  • 3x - 1 < 2x + 6            ←       Inequality II

Solve Inequality I.

  • 3 < 3x - 1

Add 1 to both sides.

  • 4 < 3x

Divide both sides by 3.

  • 4/3 < x

Solve Inequality II.

  • 3x - 1 < 2x + 6  

Subtract 2x from both sides.

  • x - 1 < 6

Add 1 to both sides.

  • x < 7

Combine these two inequality solutions.

  • 4/3 < x < 7

Integer solutions to this inequality would be any integer between 1 (4/3 = 1.3...) and 7, exclusive.

These five numbers are 2, 3, 4, 5, 6.

Go Teaching: Other Questions