Final answer:
To represent the statement 'Half of a number is more than one and one-third' as an inequality, we can use the symbol > (greater than). The inequality would be 'x/2 > 8/3'.
Step-by-step explanation:
To represent the statement 'Half of a number is more than one and one-third' as an inequality, we can use the symbol > (greater than). Let's say the number is represented by 'x'. The inequality would be:
x/2 > 1 + 1/3
To simplify this inequality, we can first convert the mixed number 1 + 1/3 to an improper fraction. It becomes 4/3. So the inequality becomes:
x/2 > 4/3
Now, we can multiply both sides of the inequality by 2 to isolate 'x'. This yields:
x > (4/3) * 2
Simplifying further, we have:
x > 8/3
So the inequality that represents the statement is:
x > 8/3