Question

4(3x + 2) < 5(3x − 2)

Answer 1

x > 6

Explanation:

Inequality:

4(3x + 2) < 5(3x − 2)

Solving for x:

• 12x+8 < 15x-10
• 12x-15x < -10-18
• -3x < - 18
• x < -18/-3
• x > 6

Answer 2

`\bf{4(3x + 2) < 5(3x - 2)}`

Simplify both sides of the inequality.

• 
  `\bf{12x+8 < 15x-10}`

Subtract 15x from both sides.

• 
  `\bf{12x+8-15x < 15x-10-15x}`

• 
  `\bf{-3x+8 < -10}`

Subtract 8 from both sides.

• 
  `\bf{-3x+8-8 < -10-8 }`
• 
  `\bf{-3x < -18}`

Divide both sides by -3.

• 
  `\bf{(-3x)/(-3) < (-18)/(-3) }`

• 
  `\bf{x > 6 \ \ \to \ \ \ Answer}`

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