Solve the Inequality for x -1/5x<=8

$- \frac{1}{5} x \leq 8$

Step 1

Multiply each term in $- \frac{1}{5} x \leq 8$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$- \frac{1}{5} x \cdot - 5 \geq 8 \cdot - 5$

Step 2

Simplify the left side.

Combine $x$ and $\frac{1}{5}$ .

$- \frac{x}{5} \cdot - 5 \geq 8 \cdot - 5$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{x}{5}$ into the numerator.

$\frac{- x}{5} \cdot - 5 \geq 8 \cdot - 5$

Factor $5$ out of $- 5$ .

$\frac{- x}{5} \cdot (5 (- 1)) \geq 8 \cdot - 5$

Cancel the common factor.

$\frac{- x}{5} \cdot (5 \cdot - 1) \geq 8 \cdot - 5$

Rewrite the expression.

$- x \cdot - 1 \geq 8 \cdot - 5$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x \geq 8 \cdot - 5$

Multiply $x$ by $1$ .

$x \geq 8 \cdot - 5$

Step 3

Simplify the right side.

Multiply $8$ by $- 5$ .

$x \geq - 40$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 40$

Interval Notation:

$[- 40, \infty)$

Solve the Inequality for x -1/5x<=8

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