Algebra Examples

$f + 3 \leq - \frac{13}{11}$

Step 1

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

Tap for more steps...

Step 1.1

Subtract $3$ from both sides of the inequality.

$f \leq - \frac{13}{11} - 3$

Step 1.2

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{11}{11}$ .

$f \leq - \frac{13}{11} - 3 \cdot \frac{11}{11}$

Step 1.3

Combine $- 3$ and $\frac{11}{11}$ .

$f \leq - \frac{13}{11} + \frac{- 3 \cdot 11}{11}$

Step 1.4

Combine the numerators over the common denominator.

$f \leq \frac{- 13 - 3 \cdot 11}{11}$

Step 1.5

Simplify the numerator.

Tap for more steps...

Step 1.5.1

Multiply $- 3$ by $11$ .

$f \leq \frac{- 13 - 33}{11}$

Step 1.5.2

Subtract $33$ from $- 13$ .

$f \leq \frac{- 46}{11}$

Step 1.6

Move the negative in front of the fraction.

$f \leq - \frac{46}{11}$

Step 2

Convert the inequality to interval notation.

$(- \infty, - \frac{46}{11}]$

Step 3