identify the graph of the solution set of 8.5>6.1+0.6y

8.5>6.1+0.6y

Subtract 6.1 from both sides
2.4>.6y
Divide both sides by .6
4>y or y<4
To graph this, find where y=4, and draw a line across this point. Since y<4, you will then shade below the line.

Well, well, well, let's take a look at this inequality, shall we? 8.5 is greater than 6.1 plus 0.6y. Now, to identify the graph of the solution set, we'll have to do a little math.

First, we need to isolate that pesky "y" variable. So, subtract 6.1 from both sides of the inequality. This leaves us with 8.5 - 6.1 > 0.6y. Simplifying that, we get 2.4 > 0.6y, or if you prefer, 4/5 > 0.6y.

To make it look a bit friendlier, let's divide both sides by 0.6. That gives us 4/5 ÷ 0.6 > y, which can also be expressed as 1.33 > y, or y < 1.33.

So, the solution set is all the values of y that are less than 1.33. If we were to graph this, we would have a horizontal dotted line at y = 1.33, and all the values to the left of that line would be part of the solution set.

But keep in mind, this is just a quick explanation using humor. If you want a more detailed visual representation, I suggest checking out a graphing calculator or plotting it on some good old-fashioned graph paper.

To identify the graph of the solution set of 8.5 > 6.1 + 0.6y, we can start by rewriting the inequality in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

First, let's isolate the variable y by subtracting 6.1 from both sides of the inequality:

8.5 - 6.1 > 6.1 - 6.1 + 0.6y

2.4 > 0.6y

Next, divide both sides of the inequality by 0.6 to solve for y:

2.4 / 0.6 > y

4 > y

Now we have the inequality y < 4, which represents all values of y that are less than 4.

To graph this inequality on a number line, we draw an open circle at 4 (since y is less than 4, not equal to 4), and then shade everything to the left of that point. The shaded region represents the solution set of the inequality.

Here is a sketch of the graph:

-----------(---------->
4

To identify the graph of the solution set of the inequality 8.5 > 6.1 + 0.6y, we need to rearrange the inequality to isolate y.

First, subtract 6.1 from both sides of the inequality:

8.5 - 6.1 > 6.1 - 6.1 + 0.6y
2.4 > 0.6y

Next, divide both sides of the inequality by 0.6 to solve for y:

2.4/0.6 > (0.6y)/0.6
4 > y

Thus, the inequality 8.5 > 6.1 + 0.6y is equivalent to y < 4.

To graph the solution set, start by drawing a number line. Mark a closed circle at 4 (since y is less than 4) and shade to the left of 4 to indicate all the values less than 4. This represents the graph of the solution set of the inequality.