Question

4(3x + 2) < 5(3x − 2)

Answer 1

Answer:

x > 6

Step-by-step 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.

• $\bf{\dfrac{-3x}{-3} < \dfrac{-18}{-3} }$

• $\bf{x > 6 \ \ \to \ \ \ Answer}$

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