Algebra Examples

$3 (k - 9) > 3 k + 6$

Step 1

Simplify $3 (k - 9)$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (k - 9) > 3 k + 6$

Step 1.2

Simplify by adding zeros.

$3 (k - 9) > 3 k + 6$

Step 1.3

Apply the distributive property.

$3 k + 3 \cdot - 9 > 3 k + 6$

Step 1.4

Multiply $3$ by $- 9$ .

$3 k - 27 > 3 k + 6$

Step 2

Move all terms containing $k$ to the left side of the inequality.

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Step 2.1

Subtract $3 k$ from both sides of the inequality.

$3 k - 27 - 3 k > 6$

Step 2.2

Combine the opposite terms in $3 k - 27 - 3 k$ .

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Step 2.2.1

Subtract $3 k$ from $3 k$ .

$0 - 27 > 6$

Step 2.2.2

Subtract $27$ from $0$ .

$- 27 > 6$

Step 3

Since $- 27 < 6$ , there are no solutions.

No solution