For an integer $n$, the inequality
\[x^2 + nx + 15 < 0\]has no real solutions in $x$. Find the number of different possible values of $n$.

Iwant to know what 3g+5h+4g-2h is my teacher is too selfish to tell us

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.