Solve the Inequality for x 1/2x+3<2/3x+5/3

Solve the Inequality for x 1/2x+3<2/3x+5/3
Combine and .
Combine and .
Move all terms containing to the left side of the inequality.
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Subtract from both sides of the inequality.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify each term.
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Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply by .
Subtract from .
Move to the left of .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the inequality.
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Subtract from both sides of the inequality.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
Move the negative in front of the fraction.
Divide each term in by and simplify.
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Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Simplify the left side.
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Dividing two negative values results in a positive value.
Divide by .
Simplify the right side.
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Dividing two negative values results in a positive value.
Divide by .
Multiply both sides by .
Simplify.
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Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify the right side.
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Simplify .
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Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
The result can be shown in multiple forms.
Inequality Form:
Interval Notation:
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Name

Name one billion two hundred six million six hundred seventy-one thousand three hundred twenty-four

Interesting facts

  • 1206671324 has 32 divisors, whose sum is 2818702800
  • The reverse of 1206671324 is 4231766021
  • Previous prime number is 281

Basic properties

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

Name

Name forty million three hundred twenty thousand three hundred sixty-eight

Interesting facts

  • 40320368 has 64 divisors, whose sum is 222679368
  • The reverse of 40320368 is 86302304
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 26
  • Digital Root 8

Name

Name one billion nine hundred sixty-nine million seven hundred seventy-two thousand four hundred forty-nine

Interesting facts

  • 1969772449 has 4 divisors, whose sum is 1977620400
  • The reverse of 1969772449 is 9442779691
  • Previous prime number is 251

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 58
  • Digital Root 4