Finite Math Examples

$- 1.9 x > - 9.5$

Step 1

Divide each term in $- 1.9 x > - 9.5$ by $- 1.9$ and simplify.

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Step 1.1

Divide each term in $- 1.9 x > - 9.5$ by $- 1.9$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 1.9 x}{- 1.9} < \frac{- 9.5}{- 1.9}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 1.9$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 1.9 x}{- 1.9} < \frac{- 9.5}{- 1.9}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x < \frac{- 9.5}{- 1.9}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $- 9.5$ by $- 1.9$ .

$x < 5$

Step 2

Convert the inequality to interval notation.

$(- \infty, 5)$

Step 3