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.

  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.

Step-by-step explanation:

We can start by dividing the inequality by 3 to get ...

  8 -4x < 2(x -5)

And we can divide by 2 to simplify further to ...

  4 -2x < x -5

Now, we can add 2x+5, which gives ...

  9 < 3x

and then divide by 3 again:

  3 < x

This is graphed on a number line as described above.

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743