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Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Respuesta :

The number line which line represents the solution set for the

inequality 3(8 - 4x) < 6(x - 5) is:

" A number line from negative 5 to 5 in increments of 1.

An open circle is at 3 and a bold line starts at 3 and is pointing to

the right " 2nd answer

Step-by-step explanation:

To solve an inequality

  • Simplify each side
  • Collect the variable terms in one side and the numerical terms in other side
  • Solve to find the solution set

∵ 3(8 - 4x) < 6(x - 5)

- Simplify each side

∴ 24 - 12x < 6x - 30

- Add 12x to both sides

∴ 24 < 18x - 30

- Add 30 to both sides

∴ 54 < 18x

- Divide both sides by 18

∴ 3 < x

∴ The solution is all real numbers greater than 3

- That means a bold line started with an open circle at 3 and

   pointing to the right

The number line which line represents the solution set for the

inequality 3(8 - 4x) < 6(x - 5) is:

" A number line from negative 5 to 5 in increments of 1.

An open circle is at 3 and a bold line starts at 3 and is pointing to

the right "

Learn more:

You can learn more about solving inequalities in brainly.com/question/7490805

#LearnwithBrainly

Answer: The answer is C

Step-by-step explanation: