Solve the Inequality for x 4-2(x+1)<18

$4 - 2 (x + 1) < 18$

Step 1

Simplify $4 - 2 (x + 1)$ .

Simplify each term.

Apply the distributive property.

$4 - 2 x - 2 \cdot 1 < 18$

Multiply $- 2$ by $1$ .

$4 - 2 x - 2 < 18$

Subtract $2$ from $4$ .

$- 2 x + 2 < 18$

Step 2

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

Subtract $2$ from both sides of the inequality.

$- 2 x < 18 - 2$

Subtract $2$ from $18$ .

$- 2 x < 16$

Step 3

Divide each term in $- 2 x < 16$ by $- 2$ and simplify.

Divide each term in $- 2 x < 16$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} > \frac{16}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} > \frac{16}{- 2}$

Divide $x$ by $1$ .

$x > \frac{16}{- 2}$

Simplify the right side.

Divide $16$ by $- 2$ .

$x > - 8$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 8$

Interval Notation:

$(- 8, \infty)$

Solve the Inequality for x 4-2(x+1)<18

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