Which of the following show the graph of solution to x + 1 2/3 > 4

Answer 1

To graph the solution to the inequality x + 1 2/3 > 4, we first need to rewrite the inequality without mixed numbers.

Recall that 1 2/3 can be written as (1*3 + 2)/3 = 5/3.

So, the inequality becomes x + 5/3 > 4.

Now, we can graph the solution to this inequality on a number line.

Step 1: Draw a number line and label it.

Step 2: Find the point where x + 5/3 = 4. To do this, subtract 5/3 from both sides of the equation:

x + 5/3 - 5/3 = 4 - 5/3

x = 12/3 - 5/3 = 7/3.

Step 3: Draw an open circle at 7/3 on the number line, since x is greater than 7/3.

Step 4: Shade the region to the right of the open circle to represent all the numbers greater than 7/3.

The graph of the solution x + 1 2/3 > 4 would look like this:

-------
| x |
|----|
---|---|---|---|---|---|----|---|---|---|---|---|---|---|---|---|---|---|---|------ (Number line)
-5/3 -4/3 -3/3 -2/3 -1/3 0 1/3 2/3 3/3 4/3 5/3 6/3 7/3 8/3 9/3

The region to the right of the open circle at 7/3 represents the graph of the solution to the inequality x + 1 2/3 > 4.