Answer: Answer: x> -2/11
Step-by-step explanation: Multiply both sides of the inequality by the least common denominator: 2 (-5/2(3x-2))<2x6-2x2x
Reduce the expression to the lowest term: -5(3x-2)<2 x 6-2 x 2x
Apply Multiplicative Distribution Law: -15x + 10< 2 x 6 -2 x 2x
Multiply the monomials:-15x + 10< 2 x 6 - 4x
Calculate the product or quotient: -15x + 10<12-4x
Rearrange unknown terms to the left side of the equation: -15x + 4x< 12 - 10
Combine like terms: -11x < 12 - 10
Calculate the sum or difference: -11x<2
Divide both sides of the inequality by the coefficient of variable: x > 2 ÷(-11)
Rewrite as fraction: x> 2/-11
Rewrite the fraction: x> -2/11
Answer: x> -2/11
