Trigonometry Examples

$7 < 3 x - 2$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$3 x - 2 > 7$

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.

$3 x > 7 + 2$

Step 2.2

Add $7$ and $2$ .

$3 x > 9$

Step 3

Divide each term in $3 x > 9$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 x > 9$ by $3$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $x$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $9$ by $3$ .

$x > 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 3$

Interval Notation:

$(3, \infty)$