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Exercise

$\frac{x-2}{3}+\frac{x+4}{5}>6$

Step-by-step Solution

Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality (x-2)/3+(x+4)/5>6. Move everything to the left hand side of the equation. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete. Simplify the numerators.
Solve the inequality (x-2)/3+(x+4)/5>6

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Final answer to the exercise

$x>11$

Try other ways to solve this exercise

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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Main Topic: One-variable linear inequalities

Algebraic inequalities that have just one variable.

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