Trigonometry Examples

$102 - x < 44$

Step 1

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

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Step 1.1

Subtract $102$ from both sides of the inequality.

$- x < 44 - 102$

Step 1.2

Subtract $102$ from $44$ .

$- x < - 58$

Step 2

Divide each term in $- x < - 58$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- x < - 58$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} > \frac{- 58}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} > \frac{- 58}{- 1}$

Step 2.2.2

Divide $x$ by $1$ .

$x > \frac{- 58}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 58$ by $- 1$ .

$x > 58$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 58$

Interval Notation:

$(58, \infty)$