Trigonometry Examples

$5 - 6 y > - 25$

Step 1

Move all terms not containing $y$ to the right side of the inequality.

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Step 1.1

Subtract $5$ from both sides of the inequality.

$- 6 y > - 25 - 5$

Step 1.2

Subtract $5$ from $- 25$ .

$- 6 y > - 30$

Step 2

Divide each term in $- 6 y > - 30$ by $- 6$ and simplify.

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Step 2.1

Divide each term in $- 6 y > - 30$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 y}{- 6} < \frac{- 30}{- 6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 6 y}{- 6} < \frac{- 30}{- 6}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y < \frac{- 30}{- 6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 30$ by $- 6$ .

$y < 5$

Step 3

Convert the inequality to interval notation.

$(- \infty, 5)$

Step 4