Pre-Algebra Examples

$k + 3 - 2 k > 50$

Step 1

Subtract $2 k$ from $k$ .

$- k + 3 > 50$

Step 2

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

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Step 2.1

Subtract $3$ from both sides of the inequality.

$- k > 50 - 3$

Step 2.2

Subtract $3$ from $50$ .

$- k > 47$

Step 3

Divide each term in $- k > 47$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- k > 47$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- k}{- 1} < \frac{47}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{k}{1} < \frac{47}{- 1}$

Step 3.2.2

Divide $k$ by $1$ .

$k < \frac{47}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $47$ by $- 1$ .

$k < - 47$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$k < - 47$

Interval Notation:

$(- \infty, - 47)$