Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8? A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left. A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right. A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left. A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.

[tex]2x - 6 \geq 6(x - 2) + 8\\\Rightarrow 2x - 6 \geq 6x - 12 + 8\\ \Rightarrow 2x - 6 \geq 6x - 4\\\Rightarrow 2x - 6x \ geq -4 + 6\\\Rightarrow -4x \geq 2\\\Rightarrow -x \geq 0.5\\\Rightarrow x \leq -0.5[/tex]

is the required solution of the given inequality.

Thus, if we want to plot or show this solution on a number line, then we need to we need to mark the point -0.5 and all the numbers less than -0.5

A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.

This s represented in Option C.

sheenuvt12 sheenuvt12 · Answer 2 · 2022-06-24T18:34:27+02:00

sheenuvt12 sheenuvt12

24-06-2022

A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.

The correct option is (C).

What is Number line?

A number line is a picture of a graduated straight line that serves as abstraction for real numbers

Given inequality:

2x-6≥ 6 (x-2) + 8

2x-6≥ 6x-12+ 8

-4x≥12

-x≥1/2

x≤ -1/2

Learn more about number line here:

https://brainly.com/question/17683084

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