Solve the Inequality for x 18<-(1+x)

$18 < - (1 + x)$

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

$- (1 + x) > 18$

Simplify $- (1 + x)$ .

Apply the distributive property.

$- 1 \cdot 1 - x > 18$

Multiply $- 1$ by $1$ .

$- 1 - x > 18$

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

Add $1$ to both sides of the inequality.

$- x > 18 + 1$

Add $18$ and $1$ .

$- x > 19$

Divide each term in $- x > 19$ by $- 1$ and simplify.

Divide each term in $- x > 19$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} < \frac{19}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} < \frac{19}{- 1}$

Divide $x$ by $1$ .

$x < \frac{19}{- 1}$

Simplify the right side.

Divide $19$ by $- 1$ .

$x < - 19$

The result can be shown in multiple forms.

Inequality Form:

$x < - 19$

Interval Notation:

$(- \infty, - 19)$

Solve the Inequality for x 18<-(1+x)

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