Solve the Inequality for m m>=5m-4

$m \geq 5 m - 4$

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

Subtract $5 m$ from both sides of the inequality.

$m - 5 m \geq - 4$

Subtract $5 m$ from $m$ .

$- 4 m \geq - 4$

Divide each term in $- 4 m \geq - 4$ by $- 4$ and simplify.

Divide each term in $- 4 m \geq - 4$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 m}{- 4} \leq \frac{- 4}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 m}{- 4} \leq \frac{- 4}{- 4}$

Divide $m$ by $1$ .

$m \leq \frac{- 4}{- 4}$

Simplify the right side.

Divide $- 4$ by $- 4$ .

$m \leq 1$

The result can be shown in multiple forms.

Inequality Form:

$m \leq 1$

Interval Notation:

$(- \infty, 1]$

Solve the Inequality for m m>=5m-4

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