Finite Math Examples

$- 4 (- 2 - x) < 6 x + 19 - 11 - 2 x$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$6 x + 19 - 11 - 2 x > - 4 (- 2 - x)$

Step 2

Simplify $6 x + 19 - 11 - 2 x$ .

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Step 2.1

Subtract $2 x$ from $6 x$ .

$4 x + 19 - 11 > - 4 (- 2 - x)$

Step 2.2

Subtract $11$ from $19$ .

$4 x + 8 > - 4 (- 2 - x)$

Step 3

Simplify $- 4 (- 2 - x)$ .

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Step 3.1

Apply the distributive property.

$4 x + 8 > - 4 \cdot - 2 - 4 (- x)$

Step 3.2

Multiply.

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Step 3.2.1

Multiply $- 4$ by $- 2$ .

$4 x + 8 > 8 - 4 (- x)$

Step 3.2.2

Multiply $- 1$ by $- 4$ .

$4 x + 8 > 8 + 4 x$

Step 4

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

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Step 4.1

Subtract $4 x$ from both sides of the inequality.

$4 x + 8 - 4 x > 8$

Step 4.2

Combine the opposite terms in $4 x + 8 - 4 x$ .

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Step 4.2.1

Subtract $4 x$ from $4 x$ .

$0 + 8 > 8$

Step 4.2.2

Add $0$ and $8$ .

$8 > 8$

Step 5

Since $8 < 8$ , there are no solutions.

No solution