Pre-Algebra Examples

$x + y > 5$ , $2 x - y < 4$

Step 1

Subtract $y$ from both sides of the inequality.

$x > 5 - y$ and $2 x - y < 4$

Step 2

Simplify the second inequality.

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Step 2.1

Add $y$ to both sides of the inequality.

$x > 5 - y$ and $2 x < 4 + y$

Step 2.2

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

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Step 2.2.1

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

$x > 5 - y$ and $\frac{2 x}{2} < \frac{4}{2} + \frac{y}{2}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $2$ .

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Step 2.2.2.1.1

Cancel the common factor.

$x > 5 - y$ and $\frac{2 x}{2} < \frac{4}{2} + \frac{y}{2}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x > 5 - y$ and $x < \frac{4}{2} + \frac{y}{2}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide $4$ by $2$ .

$x > 5 - y$ and $x < 2 + \frac{y}{2}$

Step 3