# Solve the Inequality for x 5 square root of x-1>10

Solve the Inequality for x 5 square root of x-1>10
To remove the radical on the left side of the inequality, square both sides of the inequality.
Simplify each side of the inequality.
Use to rewrite as .
Simplify the left side.
Simplify .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Apply the distributive property.
Multiply by .
Simplify the right side.
Raise to the power of .
Solve for .
Move all terms not containing to the right side of the inequality.
Add to both sides of the inequality.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Divide by .
Find the domain of .
Set the radicand in greater than or equal to to find where the expression is defined.
Add to both sides of the inequality.
The domain is all values of that make the expression defined.
The solution consists of all of the true intervals.
The result can be shown in multiple forms.
Inequality Form:
Interval Notation:
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