- #1
solar nebula
- 14
- 0
Homework Statement
The problem is:
for all 0≤a≤1
so i need to find the domain
Homework Equations
N/A
The Attempt at a Solution
I tried it like this:
yet my solution is wrong,i am not so sure why.
wolfram gives me this;
\sqrt{x^2}=x
\abs{x}
solar nebula said:Also when i take a square root of a number, isn't that i should take the positive and negative root?
A domain for an inequality is the set of all possible values that can be substituted for the variable in the inequality and still make the inequality true.
Finding the domain for an inequality allows us to determine the range of values that satisfy the inequality. This is important in understanding the solution set and making informed decisions based on the inequality.
To find the domain for a linear inequality, we need to solve for the variable in the inequality. This will give us the range of values that the variable can take on to satisfy the inequality.
Yes, the domain for an inequality can be infinite if the inequality involves a variable with no restrictions on its value. For example, in the inequality x > 3, the domain is all real numbers greater than 3, which is infinite.
If the domain for an inequality is empty, it means that there are no values that can be substituted for the variable to make the inequality true. This could happen if the inequality has restrictions on the variable that cannot be satisfied.