Question

6 the sum of -21.8 and a number is positive. identify a possible value for that number. explain your selection. solution

Explanation:

Step1: Define the variable

Let the number be \( x \). The sum of \(-21.8\) and \( x \) is \( -21.8 + x \), and this sum should be positive, so we have the inequality \( -21.8 + x>0 \).

Step2: Solve the inequality

To solve for \( x \), we add \( 21.8 \) to both sides of the inequality. Using the addition property of inequalities (adding the same number to both sides of an inequality does not change the inequality direction), we get \( x > 21.8 \).

Step3: Choose a value

We can choose any value greater than \( 21.8 \). Let's pick \( x = 22 \). Now we check the sum: \( -21.8+22 = 0.2 \), which is positive.

Answer:

A possible value for the number is \( 22 \) (any number greater than \( 21.8 \) is valid, for example, \( 23 \), \( 25 \), etc. would also work).