What does an inequality with a degree higher than 6 mean in this context? Have you studied that yet? (and if not, why are they asking you this question?)MartynaJ said:Homework Statement:: Determine a possible inequality question (in any form) with a degree higher than 6 the has the solution: x<-3 or 0<x<2 or 2<x<6. Justify your solution in full detail
Relevant Equations:: x<-3 or 0<x<2 or 2<x<6
I am honestly not sure where to start. Please give me a hint on how to solve this problem. Thanks!
The OP probably has studied polynomials (in factored form), and is asked to solve an inequality something like p(x) > 0, where p(x) is a polynomial of degree >= 6.berkeman said:What does an inequality with a degree higher than 6 mean in this context?
Ya we studied polynomials in factors form, but I am not sure how I can solve this.Mark44 said:The OP probably has studied polynomials (in factored form), and is asked to solve an inequality something like p(x) > 0, where p(x) is a polynomial of degree >= 6.
Then I suggest you look at your textbook and class notes to see if there is a similar example.MartynaJ said:Ya we studied polynomials in factors form, but I am not sure how I can solve this.
Inequalities are mathematical expressions that compare two values or quantities and show the relationship between them. They use symbols such as <, >, ≤, and ≥ to represent the relationship.
To solve inequalities, you follow similar rules as solving equations, but with one important difference. If you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol. For example, if you have -3x > 12, dividing both sides by -3 would result in x < -4.
Solving an inequality means finding the range of values that satisfy the inequality. Graphing an inequality means plotting all the values that satisfy the inequality on a number line or coordinate plane.
To check if a point is a solution to an inequality, you can substitute the values of the point into the inequality and see if it results in a true statement. If it does, then the point is a solution to the inequality.
Yes, inequalities can have infinitely many solutions. This is because the range of values that satisfy an inequality can be a continuous set of numbers, such as all real numbers between two given values.