Solve for x -17+4x<=-49

$- 17 + 4 x \leq - 49$

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

Add $17$ to both sides of the inequality.

$4 x \leq - 49 + 17$

Add $- 49$ and $17$ .

$4 x \leq - 32$

Divide each term in $4 x \leq - 32$ by $4$ and simplify.

Divide each term in $4 x \leq - 32$ by $4$ .

$\frac{4 x}{4} \leq \frac{- 32}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} \leq \frac{- 32}{4}$

Divide $x$ by $1$ .

$x \leq \frac{- 32}{4}$

Simplify the right side.

Divide $- 32$ by $4$ .

$x \leq - 8$

The result can be shown in multiple forms.

Inequality Form:

$x \leq - 8$

Interval Notation:

$(- \infty, - 8]$