Algebra Examples

$2 (2 x - 1) > 4 x$

Step 1

Simplify $2 (2 x - 1)$ .

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Step 1.1

Rewrite.

$0 + 0 + 2 (2 x - 1) > 4 x$

Step 1.2

Simplify by adding zeros.

$2 (2 x - 1) > 4 x$

Step 1.3

Apply the distributive property.

$2 (2 x) + 2 \cdot - 1 > 4 x$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $2$ by $2$ .

$4 x + 2 \cdot - 1 > 4 x$

Step 1.4.2

Multiply $2$ by $- 1$ .

$4 x - 2 > 4 x$

Step 2

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

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Step 2.1

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

$4 x - 2 - 4 x > 0$

Step 2.2

Combine the opposite terms in $4 x - 2 - 4 x$ .

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Step 2.2.1

Subtract $4 x$ from $4 x$ .

$0 - 2 > 0$

Step 2.2.2

Subtract $2$ from $0$ .

$- 2 > 0$

Step 3

Since $- 2 < 0$ , there are no solutions.

No solution