Solve the Inequality for x 20-4/5x>=16

$20 - \frac{4}{5} x \geq 16$

Simplify each term.

Combine $x$ and $\frac{4}{5}$ .

$20 - \frac{x \cdot 4}{5} \geq 16$

Move $4$ to the left of $x$ .

$20 - \frac{4 x}{5} \geq 16$

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

Subtract $20$ from both sides of the inequality.

$- \frac{4 x}{5} \geq 16 - 20$

Subtract $20$ from $16$ .

$- \frac{4 x}{5} \geq - 4$

Divide each term in $- \frac{4 x}{5} \geq - 4$ by $- 1$ and simplify.

Divide each term in $- \frac{4 x}{5} \geq - 4$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{4 x}{5}}{- 1} \leq \frac{- 4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{4 x}{5}}{1} \leq \frac{- 4}{- 1}$

Divide $\frac{4 x}{5}$ by $1$ .

$\frac{4 x}{5} \leq \frac{- 4}{- 1}$

Simplify the right side.

Divide $- 4$ by $- 1$ .

$\frac{4 x}{5} \leq 4$

Multiply both sides by $5$ .

$\frac{4 x}{5} \cdot 5 \leq 4 \cdot 5$

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{4 x}{5} \cdot 5 \leq 4 \cdot 5$

Rewrite the expression.

$4 x \leq 4 \cdot 5$

Simplify the right side.

Multiply $4$ by $5$ .

$4 x \leq 20$

Divide each term in $4 x \leq 20$ by $4$ and simplify.

Divide each term in $4 x \leq 20$ by $4$ .

$\frac{4 x}{4} \leq \frac{20}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} \leq \frac{20}{4}$

Divide $x$ by $1$ .

$x \leq \frac{20}{4}$

Simplify the right side.

Divide $20$ by $4$ .

$x \leq 5$

The result can be shown in multiple forms.

Inequality Form:

$x \leq 5$

Interval Notation:

$(- \infty, 5]$

Solve the Inequality for x 20-4/5x>=16

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