Question

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.

Answer 1

Answer:

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

The number line in Option C.

Step-by-step explanation:

We are given an inequality.

$2x - 6 \geq 6(x - 2) + 8$

We have to find the number line that shows the solution for the given inequality.

If we solve the given inequality,

$2x - 6 \geq 6(x - 2) + 8\\\Rightarrow 2x - 6 \geq 6x - 12 + 8\\ \Rightarrow 2x - 6 \geq 6x - 4\\\Rightarrow 2x - 6x \ geq -4 + 6\\\Rightarrow -4x \geq 2\\\Rightarrow -x \geq 0.5\\\Rightarrow x \leq -0.5$

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.

Answer 2

Answer:

C

Step-by-step explanation:

i got it right on edge