x+1 2/3 >4

Answer 1

To solve the inequality, we need to isolate the variable x.

x + 1 2/3 > 4

First, let's convert the mixed number 1 2/3 to an improper fraction:
1 2/3 = (1 * 3 + 2)/3 = 5/3

Now, the inequality becomes:
x + 5/3 > 4

To isolate x, subtract 5/3 from both sides of the inequality:
x > 4 - 5/3

To simplify 4 - 5/3, we need to find a common denominator:
4 = 12/3

Now, subtract:
x > 12/3 - 5/3
x > 7/3

Therefore, the solution to the inequality is x > 7/3.