Solve for x 4x-5<-17

$4 x - 5 < - 17$

Step 1

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

Add $5$ to both sides of the inequality.

$4 x < - 17 + 5$

Add $- 17$ and $5$ .

$4 x < - 12$

Step 2

Divide each term in $4 x < - 12$ by $4$ and simplify.

Divide each term in $4 x < - 12$ by $4$ .

$\frac{4 x}{4} < \frac{- 12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} < \frac{- 12}{4}$

Divide $x$ by $1$ .

$x < \frac{- 12}{4}$

Simplify the right side.

Divide $- 12$ by $4$ .

$x < - 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < - 3$

Interval Notation:

$(- \infty, - 3)$