Algebra Examples

$- 3 x - 2 x < 5$

Step 1

Subtract $2 x$ from $- 3 x$ .

$- 5 x < 5$

Step 2

Divide each term in $- 5 x < 5$ by $- 5$ and simplify.

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Step 2.1

Divide each term in $- 5 x < 5$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 x}{- 5} > \frac{5}{- 5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} > \frac{5}{- 5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x > \frac{5}{- 5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $5$ by $- 5$ .

$x > - 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > - 1$

Interval Notation:

$(- 1, \infty)$