Solve for j -5<=11+4j

$- 5 \leq 11 + 4 j$

Step 1

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

$11 + 4 j \geq - 5$

Step 2

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

Subtract $11$ from both sides of the inequality.

$4 j \geq - 5 - 11$

Subtract $11$ from $- 5$ .

$4 j \geq - 16$

Step 3

Divide each term in $4 j \geq - 16$ by $4$ and simplify.

Divide each term in $4 j \geq - 16$ by $4$ .

$\frac{4 j}{4} \geq \frac{- 16}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 j}{4} \geq \frac{- 16}{4}$

Divide $j$ by $1$ .

$j \geq \frac{- 16}{4}$

Simplify the right side.

Divide $- 16$ by $4$ .

$j \geq - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$j \geq - 4$

Interval Notation:

$[- 4, \infty)$