Finite Math Examples

$- 3 x + 9 (x - 4) > 6 x - 2$

Step 1

Simplify $- 3 x + 9 (x - 4)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 3 x + 9 x + 9 \cdot - 4 > 6 x - 2$

Step 1.1.2

Multiply $9$ by $- 4$ .

$- 3 x + 9 x - 36 > 6 x - 2$

Step 1.2

Add $- 3 x$ and $9 x$ .

$6 x - 36 > 6 x - 2$

Step 2

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

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Step 2.1

Subtract $6 x$ from both sides of the inequality.

$6 x - 36 - 6 x > - 2$

Step 2.2

Combine the opposite terms in $6 x - 36 - 6 x$ .

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Step 2.2.1

Subtract $6 x$ from $6 x$ .

$0 - 36 > - 2$

Step 2.2.2

Subtract $36$ from $0$ .

$- 36 > - 2$

Step 3

Since $- 36 < - 2$ , there are no solutions.

No solution