Exercise
$\frac{3x-1}{7}-\frac{2-4x}{3}\ge\frac{-5x-4}{14}+\frac{7x}{7}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the inequality (3x-1)/7+(-(2-4x))/3>=(-5x-4)/14+(7x)/7. Simplify the fraction \frac{7x}{7} by 7. Simplify the product -(2-4x). 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.
Solve the inequality (3x-1)/7+(-(2-4x))/3>=(-5x-4)/14+(7x)/7
Final answer to the exercise
$x\geq \frac{22}{47}$