- #1
thereddevils
- 438
- 0
Homework Statement
Solve the inequality,
[tex]\frac{1.8^n}{n!}<0.201[/tex]
Homework Equations
The Attempt at a Solution
some hints?
lanedance said:no sorry, i though it was 8^n...
can you just use brute force then & test n values?
An inequality problem is a mathematical statement that compares two quantities using an inequality symbol, such as <, >, ≤, or ≥. The goal is to find the possible values that satisfy the inequality, rather than just one specific solution.
To solve an inequality problem, you need to follow the same rules as solving an equation, such as combining like terms, using inverse operations, and isolating the variable. However, when you multiply or divide both sides by a negative number, the inequality symbol must be flipped.
In an inequality graph, an open circle (○) indicates that the value is not included in the solution, while a closed circle (●) indicates that the value is included in the solution. For example, in the inequality x > 2, the graph would have an open circle at 2, because 2 is not a possible solution.
Yes, you can always check your answer to an inequality problem by plugging it back into the original inequality and seeing if it satisfies the statement. If it does, then it is a valid solution.
One common mistake is forgetting to flip the inequality symbol when multiplying or dividing by a negative number. Another mistake is treating an inequality problem like an equation and only finding one specific solution, rather than the range of possible solutions. It is important to also pay attention to the direction of the inequality symbol and any restrictions on the variable, such as x > 0.