Finite Math Examples

$1.35 x + 2.2 y < 830$

Step 1

Subtract $1.35 x$ from both sides of the inequality.

$2.2 y < 830 - 1.35 x$

Step 2

Divide each term in $2.2 y < 830 - 1.35 x$ by $2.2$ and simplify.

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Step 2.1

Divide each term in $2.2 y < 830 - 1.35 x$ by $2.2$ .

$\frac{2.2 y}{2.2} < \frac{830}{2.2} + \frac{- 1.35 x}{2.2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2.2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2.2 y}{2.2} < \frac{830}{2.2} + \frac{- 1.35 x}{2.2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y < \frac{830}{2.2} + \frac{- 1.35 x}{2.2}$

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

Divide $830$ by $2.2$ .

$y < 377.\overline{27} + \frac{- 1.35 x}{2.2}$

Step 2.3.1.2

Move the negative in front of the fraction.

$y < 377.\overline{27} - \frac{1.35 x}{2.2}$

Step 2.3.1.3

Factor $1.35$ out of $1.35 x$ .

$y < 377.\overline{27} - \frac{1.35 (x)}{2.2}$

Step 2.3.1.4

Factor $2.2$ out of $2.2$ .

$y < 377.\overline{27} - \frac{1.35 (x)}{2.2 (1)}$

Step 2.3.1.5

Separate fractions.

$y < 377.\overline{27} - (\frac{1.35}{2.2} \cdot \frac{x}{1})$

Step 2.3.1.6

Divide $1.35$ by $2.2$ .

$y < 377.\overline{27} - (0.61\overline{36} \frac{x}{1})$

Step 2.3.1.7

Divide $x$ by $1$ .

$y < 377.\overline{27} - (0.61\overline{36} x)$

Step 2.3.1.8

Multiply $0.61\overline{36}$ by $- 1$ .

$y < 377.\overline{27} - 0.61\overline{36} x$