Algebra Examples

$2 y + 6 < 8 x$

Step 1

Subtract $6$ from both sides of the inequality.

$2 y < 8 x - 6$

Step 2

Divide each term in $2 y < 8 x - 6$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 y < 8 x - 6$ by $2$ .

$\frac{2 y}{2} < \frac{8 x}{2} + \frac{- 6}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 y}{2} < \frac{8 x}{2} + \frac{- 6}{2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y < \frac{8 x}{2} + \frac{- 6}{2}$

$y < \frac{8 x}{2} + \frac{- 6}{2}$

$y < \frac{8 x}{2} + \frac{- 6}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Cancel the common factor of $8$ and $2$ .

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Step 2.3.1.1.1

Factor $2$ out of $8 x$ .

$y < \frac{2 (4 x)}{2} + \frac{- 6}{2}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor $2$ out of $2$ .

$y < \frac{2 (4 x)}{2 (1)} + \frac{- 6}{2}$

Step 2.3.1.1.2.2

Cancel the common factor.

$y < \frac{2 (4 x)}{2 \cdot 1} + \frac{- 6}{2}$

Step 2.3.1.1.2.3

Rewrite the expression.

$y < \frac{4 x}{1} + \frac{- 6}{2}$

Step 2.3.1.1.2.4

Divide $4 x$ by $1$ .

$y < 4 x + \frac{- 6}{2}$

$y < 4 x + \frac{- 6}{2}$

$y < 4 x + \frac{- 6}{2}$

Step 2.3.1.2

Divide $- 6$ by $2$ .

$y < 4 x - 3$

$y < 4 x - 3$

$y < 4 x - 3$

$y < 4 x - 3$

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