Finite Math Examples

$1 + 2 x < 2 (x - 1)$

Step 1

Simplify $2 (x - 1)$ .

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Step 1.1

Rewrite.

$1 + 2 x < 0 + 0 + 2 (x - 1)$

Step 1.2

Simplify by adding zeros.

$1 + 2 x < 2 (x - 1)$

Step 1.3

Apply the distributive property.

$1 + 2 x < 2 x + 2 \cdot - 1$

Step 1.4

Multiply $2$ by $- 1$ .

$1 + 2 x < 2 x - 2$

Step 2

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

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Step 2.1

Subtract $2 x$ from both sides of the inequality.

$1 + 2 x - 2 x < - 2$

Step 2.2

Combine the opposite terms in $1 + 2 x - 2 x$ .

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Step 2.2.1

Subtract $2 x$ from $2 x$ .

$1 + 0 < - 2$

Step 2.2.2

Add $1$ and $0$ .

$1 < - 2$

Step 3

Since $1 > - 2$ , there are no solutions.

No solution