Finite Math Examples

$2 x + 4 y < 8$

Step 1

Subtract $4 y$ from both sides of the inequality.

$2 x < 8 - 4 y$

Step 2

Divide each term in $2 x < 8 - 4 y$ by $2$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $2 x < 8 - 4 y$ by $2$ .

$\frac{2 x}{2} < \frac{8}{2} + \frac{- 4 y}{2}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{2 x}{2} < \frac{8}{2} + \frac{- 4 y}{2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x < \frac{8}{2} + \frac{- 4 y}{2}$

$x < \frac{8}{2} + \frac{- 4 y}{2}$

$x < \frac{8}{2} + \frac{- 4 y}{2}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Simplify each term.

Tap for more steps...

Step 2.3.1.1

Divide $8$ by $2$ .

$x < 4 + \frac{- 4 y}{2}$

Step 2.3.1.2

Cancel the common factor of $- 4$ and $2$ .

Tap for more steps...

Step 2.3.1.2.1

Factor $2$ out of $- 4 y$ .

$x < 4 + \frac{2 (- 2 y)}{2}$

Step 2.3.1.2.2

Cancel the common factors.

Tap for more steps...

Step 2.3.1.2.2.1

Factor $2$ out of $2$ .

$x < 4 + \frac{2 (- 2 y)}{2 (1)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$x < 4 + \frac{2 (- 2 y)}{2 \cdot 1}$

Step 2.3.1.2.2.3

Rewrite the expression.

$x < 4 + \frac{- 2 y}{1}$

Step 2.3.1.2.2.4

Divide $- 2 y$ by $1$ .

$x < 4 - 2 y$

$x < 4 - 2 y$

$x < 4 - 2 y$

$x < 4 - 2 y$

$x < 4 - 2 y$

$x < 4 - 2 y$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$