Algebra Examples

$- 10 x \leq 40$

Step 1

Divide each term in $- 10 x \leq 40$ by $- 10$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 10 x}{- 10} \geq \frac{40}{- 10}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 10$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 10 x}{- 10} \geq \frac{40}{- 10}$

Step 2.1.2

Divide $x$ by $1$ .

$x \geq \frac{40}{- 10}$

Step 3

Simplify the right side.

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Step 3.1

Divide $40$ by $- 10$ .

$x \geq - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 4$

Interval Notation:

$[- 4, \infty)$