x2 > -3 for all real numbers.zeion said:Homework Statement
Find all value of x where 5 - x^2 < 8
Homework Equations
The Attempt at a Solution
[tex] -x^2 < 3 \Rightarrow x^2 > -3 \Rightarrow x > \sqrt{-3} [/tex]
But I can't square root a negative number?
Mark44 said:x2 > -3 for all real numbers.
The equation being solved is 5 - x^2 < 8.
The inequality symbol means "less than" in this equation.
To solve this inequality, we need to isolate the variable x on one side of the inequality symbol and all other terms on the other side. Then, we can use algebraic operations to find the range of values for x that satisfy the inequality.
The possible values of x that satisfy this inequality are all real numbers that are less than the square root of 3 or greater than negative square root of 3.
Yes, there are specific methods and strategies to solve this type of inequality. One method is to graph the inequality on a number line and identify the solutions visually. Another method is to use algebraic operations to isolate the variable and solve for its range of values. There are also rules for solving inequalities involving exponents and logarithms.