Precalculus Examples

$7 x + 4 y < 28$ , $x > 0$ , $y > 0$

Step 1

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

$7 x < 28 - 4 y$ and $x > 0$

Step 2

Divide each term in $7 x < 28 - 4 y$ by $7$ and simplify.

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Step 2.1

Divide each term in $7 x < 28 - 4 y$ by $7$ .

$\frac{7 x}{7} < \frac{28}{7} + \frac{- 4 y}{7}$ and $x > 0$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{7 x}{7} < \frac{28}{7} + \frac{- 4 y}{7}$ and $x > 0$

Step 2.2.1.2

Divide $x$ by $1$ .

$x < \frac{28}{7} + \frac{- 4 y}{7}$ and $x > 0$

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

Divide $28$ by $7$ .

$x < 4 + \frac{- 4 y}{7}$ and $x > 0$

Step 2.3.1.2

Move the negative in front of the fraction.

$x < 4 - \frac{4 y}{7}$ and $x > 0$

Step 3