Respuesta :

Set up the inequality first

.5y>22
y>44

Answer:

Inequality: [tex]\frac{y}{2}>22[/tex]

Solution: [tex]y>44[/tex]

Step-by-step explanation:

We are supposed to write and solve an inequality for the given verbal description.

One half of a number y would be y divided by 2: [tex]\frac{y}{2}[/tex].

Since one half of a number y is more than 22, so we can set an inequality as:

[tex]\frac{y}{2}>22[/tex]

Multiply both sides by 2:

[tex]\frac{y}{2}*2>22*2[/tex]

[tex]y>44[/tex]

Therefore, the solution to our given inequality is any value of y greater than 44.