Chapter 2.1, Problem 9E

To determine

The inequality for the sentence:

  $\frac{1}{2}$ times a variable y is more than 22.

Answer to Problem 9E

The inequality is $\frac{1}{2}y>22$ .

Explanation of Solution

Given:

Half times a variable y is more than 22.

Calculation:

Following are the steps for converting the statement to inequality:

Step1:

Consider the variable as y .

Step2:

Multiply the variable by $\frac{1}{2}$ as:

  $\frac{1}{2}y$

Step3:

Convert the condition into the sign of inequality as more than changed to $>$ .

Step4:

Equate the other constant and variable with converted inequality. Hence, the inequality becomes,

  $\frac{1}{2}y>22$

Thus, the inequality is $\frac{1}{2}y>22$ .