Solve 3/5x-3<5 1/3x

Evaluate

\frac{3}{5} x - 3 < 5 \frac{1}{3} \times x

Covert the mixed number to an improper fraction

More Steps

\frac{3}{5} x - 3 < \frac{16}{3} x

Move the variable to the left side

\frac{3}{5} x - 3 - \frac{16}{3} x < 0

Subtract the terms

More Steps

- \frac{71}{15} x - 3 < 0

Move the constant to the right side

- \frac{71}{15} x < 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

- \frac{71}{15} x < 3

Change the signs on both sides of the inequality and flip the inequality sign

\frac{71}{15} x > - 3

Multiply by the reciprocal

\frac{71}{15} x \times \frac{15}{71} > - 3 \times \frac{15}{71}

Multiply

x > - 3 \times \frac{15}{71}

Solution

More Steps

x > - \frac{45}{71}

Alternative Form

x \in (- \frac{45}{71}, + \infty)

Solve the inequality