Solve for m 10m-1<=4m-3

$10 m - 1 \leq 4 m - 3$

Move all terms containing $m$ to the left side of the inequality.

Subtract $4 m$ from both sides of the inequality.

$10 m - 1 - 4 m \leq - 3$

Subtract $4 m$ from $10 m$ .

$6 m - 1 \leq - 3$

Move all terms not containing $m$ to the right side of the inequality.

Add $1$ to both sides of the inequality.

$6 m \leq - 3 + 1$

Add $- 3$ and $1$ .

$6 m \leq - 2$

Divide each term in $6 m \leq - 2$ by $6$ and simplify.

Divide each term in $6 m \leq - 2$ by $6$ .

$\frac{6 m}{6} \leq \frac{- 2}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 m}{6} \leq \frac{- 2}{6}$

Divide $m$ by $1$ .

$m \leq \frac{- 2}{6}$

Simplify the right side.

Cancel the common factor of $- 2$ and $6$ .

Factor $2$ out of $- 2$ .

$m \leq \frac{2 (- 1)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$m \leq \frac{2 \cdot - 1}{2 \cdot 3}$

Cancel the common factor.

$m \leq \frac{2 \cdot - 1}{2 \cdot 3}$

Rewrite the expression.

$m \leq \frac{- 1}{3}$

Move the negative in front of the fraction.

$m \leq - \frac{1}{3}$

The result can be shown in multiple forms.

Inequality Form:

$m \leq - \frac{1}{3}$

Interval Notation:

$(- \infty, - \frac{1}{3}]$