Solve 3/5 x-4≤-3 2/3 x

Evaluate

\frac{3}{5} x - 4 \leq - 3 \frac{2}{3} \times x

Covert the mixed number to an improper fraction

More Steps

\frac{3}{5} x - 4 \leq - \frac{11}{3} x

Move the variable to the left side

\frac{3}{5} x - 4 + \frac{11}{3} x \leq 0

Add the terms

More Steps

\frac{64}{15} x - 4 \leq 0

Move the constant to the right side

\frac{64}{15} x \leq 0 + 4

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

\frac{64}{15} x \leq 4

Multiply by the reciprocal

\frac{64}{15} x \times \frac{15}{64} \leq 4 \times \frac{15}{64}

Multiply

x \leq 4 \times \frac{15}{64}

Solution

More Steps

x \leq \frac{15}{16}

Alternative Form

x \in (- \infty, \frac{15}{16}]

Solve the inequality