- #1
rsaad
- 77
- 0
Homework Statement
|4 + 2r - r^2| <1
Homework Equations
4 + 2r - r^2 = (r - (1+ √5) ) (r - (1 - √5))
The Attempt at a Solution
I tried to use the roots but no use. How should I proceed?
rsaad said:Homework Statement
|4 + 2r - r^2| <1
Homework Equations
4 + 2r - r^2 = (r - (1+ √5) ) (r - (1 - √5))
The Attempt at a Solution
I tried to use the roots but no use. How should I proceed?
In this equation, "r" represents the variable that we are trying to solve for. It could represent any unknown value that is part of an inequality.
To solve for "r" in an inequality, you need to isolate it on one side of the inequality sign using algebraic operations. This involves following the same rules as solving for "r" in an equation, with the additional consideration of the inequality sign.
The steps to solve for "r" in an inequality are:1. Simplify both sides of the inequality as much as possible by combining like terms.2. Use algebraic operations to isolate "r" on one side of the inequality sign.3. If you need to multiply or divide by a negative number to isolate "r", remember to flip the direction of the inequality sign.4. Check your solution by plugging it back into the original inequality.
These symbols are used to compare two values in an inequality. - < means "less than"- > means "greater than"- ≤ means "less than or equal to"- ≥ means "greater than or equal to"
Yes, it is possible to solve for "r" in an inequality with more than one variable. However, the approach may be different and may involve using substitution or elimination methods to reduce the number of variables in the inequality before solving for "r".