Solve for x 5-7x<-3x-11

$5 - 7 x < - 3 x - 11$

Step 1

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

Add $3 x$ to both sides of the inequality.

$5 - 7 x + 3 x < - 11$

Add $- 7 x$ and $3 x$ .

$5 - 4 x < - 11$

Step 2

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

Subtract $5$ from both sides of the inequality.

$- 4 x < - 11 - 5$

Subtract $5$ from $- 11$ .

$- 4 x < - 16$

Step 3

Divide each term in $- 4 x < - 16$ by $- 4$ and simplify.

Divide each term in $- 4 x < - 16$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 x}{- 4} > \frac{- 16}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} > \frac{- 16}{- 4}$

Divide $x$ by $1$ .

$x > \frac{- 16}{- 4}$

Simplify the right side.

Divide $- 16$ by $- 4$ .

$x > 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 4$

Interval Notation:

$(4, \infty)$

Solve for x 5-7x<-3x-11

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