Trigonometry Examples

$3 (x - 2) > - 9$

Step 1

Divide each term in $3 (x - 2) > - 9$ by $3$ and simplify.

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Step 1.1

Divide each term in $3 (x - 2) > - 9$ by $3$ .

$\frac{3 (x - 2)}{3} > \frac{- 9}{3}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $3$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{3 (x - 2)}{3} > \frac{- 9}{3}$

Step 1.2.1.2

Divide $x - 2$ by $1$ .

$x - 2 > \frac{- 9}{3}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $- 9$ by $3$ .

$x - 2 > - 3$

Step 2

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

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Step 2.1

Add $2$ to both sides of the inequality.

$x > - 3 + 2$

Step 2.2

Add $- 3$ and $2$ .

$x > - 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > - 1$

Interval Notation:

$(- 1, \infty)$