Solve for x x+9<4x

$x + 9 < 4 x$

Step 1

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

Subtract $4 x$ from both sides of the inequality.

$x + 9 - 4 x < 0$

Subtract $4 x$ from $x$ .

$- 3 x + 9 < 0$

Step 2

Subtract $9$ from both sides of the inequality.

$- 3 x < - 9$

Step 3

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

Divide each term in $- 3 x < - 9$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 9$ by $- 3$ .

$x > 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 3$

Interval Notation:

$(3, \infty)$

Solve for x x+9<4x

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