Question

the table shows the frequency of values in a data set. value frequency 19 7 21 1 23 7 25 4 what is the minimum value of the data set? a number x is at most 17 less than 5 times the value of y. if the value of y is 3, what is the greatest possible value of x?

Explanation:

Step1: Find minimum value in table

The values in the 'Value' column of the table are 19, 21, 23, 25. Comparing these numbers, 19 is the smallest.

Step2: Solve inequality for second - part

The inequality is $x\leq5y - 17$. Substitute $y = 3$ into the inequality: $x\leq5\times3-17$.

Step3: Calculate the right - hand side of the inequality

$5\times3-17=15 - 17=-2$. So the greatest possible value of $x$ is - 2.

Answer:

19
-2