Solve the Inequality for x x+30>3x

$x + 30 > 3 x$

Step 1

Move all terms containing $x$ to the left side of the inequality.

Subtract $3 x$ from both sides of the inequality.

$x + 30 - 3 x > 0$

Subtract $3 x$ from $x$ .

$- 2 x + 30 > 0$

Step 2

Subtract $30$ from both sides of the inequality.

$- 2 x > - 30$

Step 3

Divide each term in $- 2 x > - 30$ by $- 2$ and simplify.

Divide each term in $- 2 x > - 30$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} < \frac{- 30}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} < \frac{- 30}{- 2}$

Divide $x$ by $1$ .

$x < \frac{- 30}{- 2}$

Simplify the right side.

Divide $- 30$ by $- 2$ .

$x < 15$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < 15$

Interval Notation:

$(- \infty, 15)$

Solve the Inequality for x x+30>3x

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