Solve for j -2/11j<=8

$- \frac{2}{11} j \leq 8$

Step 1

Multiply each term in $- \frac{2}{11} j \leq 8$ by $- \frac{11}{2}$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$- \frac{2}{11} j (- \frac{11}{2}) \geq 8 (- \frac{11}{2})$

Step 2

Simplify the left side.

Combine $j$ and $\frac{2}{11}$ .

$- \frac{j \cdot 2}{11} (- \frac{11}{2}) \geq 8 (- \frac{11}{2})$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{j \cdot 2}{11}$ into the numerator.

$\frac{- j \cdot 2}{11} (- \frac{11}{2}) \geq 8 (- \frac{11}{2})$

Move the leading negative in $- \frac{11}{2}$ into the numerator.

$\frac{- j \cdot 2}{11} \cdot \frac{- 11}{2} \geq 8 (- \frac{11}{2})$

Factor $2$ out of $- j \cdot 2$ .

$\frac{2 \cdot (- j)}{11} \cdot \frac{- 11}{2} \geq 8 (- \frac{11}{2})$

Cancel the common factor.

$\frac{2 \cdot (- j)}{11} \cdot \frac{- 11}{2} \geq 8 (- \frac{11}{2})$

Rewrite the expression.

$\frac{- j}{11} \cdot - 11 \geq 8 (- \frac{11}{2})$

Cancel the common factor of $11$ .

Factor $11$ out of $- 11$ .

$\frac{- j}{11} \cdot (11 (- 1)) \geq 8 (- \frac{11}{2})$

Cancel the common factor.

$\frac{- j}{11} \cdot (11 \cdot - 1) \geq 8 (- \frac{11}{2})$

Rewrite the expression.

$- j \cdot - 1 \geq 8 (- \frac{11}{2})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 j \geq 8 (- \frac{11}{2})$

Multiply $j$ by $1$ .

$j \geq 8 (- \frac{11}{2})$

Step 3

Simplify the right side.

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{11}{2}$ into the numerator.

$j \geq 8 (\frac{- 11}{2})$

Factor $2$ out of $8$ .

$j \geq 2 (4) \frac{- 11}{2}$

Cancel the common factor.

$j \geq 2 \cdot 4 \frac{- 11}{2}$

Rewrite the expression.

$j \geq 4 \cdot - 11$

Multiply $4$ by $- 11$ .

$j \geq - 44$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$j \geq - 44$

Interval Notation:

$[- 44, \infty)$

Solve for j -2/11j<=8

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