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.
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Use to rewrite as .
Simplify the left side.
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Simplify .
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Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Apply the distributive property.
Multiply by .
Simplify the right side.
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Raise to the power of .
Solve for .
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Move all terms not containing to the right side of the inequality.
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Add to both sides of the inequality.
Add and .
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Divide by .
Find the domain of .
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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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Name

Name three hundred million four hundred seventy-nine thousand four hundred thirty-nine

Interesting facts

  • 300479439 has 16 divisors, whose sum is 431877600
  • The reverse of 300479439 is 934974003
  • Previous prime number is 1229

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3

Name

Name one billion one hundred ninety-seven million four hundred fifty thousand one hundred twenty-two

Interesting facts

  • 1197450122 has 64 divisors, whose sum is 2348352000
  • The reverse of 1197450122 is 2210547911
  • Previous prime number is 149

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 32
  • Digital Root 5

Name

Name one billion seven hundred eighteen million five hundred thirty-five thousand five hundred eighteen

Interesting facts

  • 1718535518 has 8 divisors, whose sum is 2946060912
  • The reverse of 1718535518 is 8155358171
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 44
  • Digital Root 8