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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 represents the solution set for inequality 3(8-4x)<6(x-5) is (3,inf).

Given an inequality 3(8-4x)<6(x-5).

We have to find the solution set for the given inequality.

What is inequality?

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

[tex]3(8-4x) < 6(x-5).[/tex]

⇒ 24-12x<6x-30

⇒ 24+30<6x+12x

⇒ 54<18x

⇒ x>54/18

⇒ x>3

Hence, the number line which represents the solution set for inequality 3(8-4x)<6(x-5) is (3,inf).

That is starting from 3 and goes up to infinity.

To learn more about inequality visit:

https://brainly.com/question/24372553

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