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

Answer 1

To find the graph of the solution to the inequality x + 1 2/3 > 4, we need to rewrite the inequality in a more standard form.

To start, let's convert the mixed number 1 2/3 to an improper fraction.

1 2/3 = (3 * 1 + 2) / 3 = 5/3

Now we can rewrite the inequality as:

x + 5/3 > 4

To solve for x, we need to isolate it on one side of the inequality. Let's subtract 5/3 from both sides:

x > 4 - 5/3

To simplify 4 - 5/3, we need a common denominator of 3.

4 = 12/3, so we have:

x > 12/3 - 5/3

x > 7/3

The solution to the inequality is x > 7/3, which means x is greater than 7/3.

The graph of the solution would be an open circle at 7/3 on the number line (since x is NOT equal to 7/3), and all values to the right of 7/3 would be shaded to represent the solution.

If you would like to see a visual representation of the graph, please let me know and I'll be happy to provide it.