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

Answer 1

To solve the inequality x + 1 2/3 > 4, we can start by subtracting 1 2/3 from both sides of the inequality:

x + 1 2/3 - 1 2/3 > 4 - 1 2/3
x + (1 2/3 - 1 2/3) > 4 - 1 2/3
x + 0 > 4 - 1 2/3
x > 4 - 1 2/3

Next, we can convert the mixed number 1 2/3 into an improper fraction:

1 2/3 = 3/3 + 2/3 = 5/3

So we have:

x > 4 - 5/3

To simplify, let's find a common denominator for 4 and 5/3, which is 3:

x > (12/3) - (5/3)
x > 7/3

Now we can graph the solution on a number line. Since the inequality is greater than (>) and not greater than or equal to (≥), we use an open circle at 7/3 and shade the area to the right of it.

The graph on the number line would look like this:

o-------------->

0 1 2 (7/3) 3 4 5 ...

So the answer is graph A.