Algebra Examples

$y > 2 x + 1$

Step 1

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

$2 x + 1 < y$

Step 2

Subtract $1$ from both sides of the inequality.

$2 x < y - 1$

Step 3

Divide each term in $2 x < y - 1$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x < y - 1$ by $2$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $x$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

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