Question

The values of p from {1, 2, 3, 4, 5, 6, 7, 8, 9} that make 4p − p < 13 true are:The values of p from the set that make 4p − p > 13 true are:

Answer 1

a) We have to identify which values of the set for p satisfy 4p-p < 13.

We can rearrange the inequality to find the value of p:

`\begin{gathered} 4p-p<13 \\ 3p<13 \\ p<(13)/(3) \\ p<4.333... \end{gathered}`

Then, the values from the set that satisfy 4p - p < 13 are 1, 2, 3 and 4.

b) As the inequality 4p-p > 13 is the complement of the previous inequality (knowing that 4-p = 13 does not match any value in the set), the other values of the set not included in the previous solution will satisfy this equation.

Then, the values from the set that satisfy 4p - p > 13 are 5, 6, 7, 8 and 9.

Answer:

The values of p from {1, 2, 3, 4, 5, 6, 7, 8, 9} that make 4p − p < 13 true are: 1, 2, 3, 4.

The values of p from the set that make 4p − p > 13 true are: 5, 6, 7, 8, 9.