Algebra Examples

$3 - 8 x \geq 9 + 2 (1 - 4 x)$

Step 1

Simplify $9 + 2 (1 - 4 x)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$3 - 8 x \geq 9 + 2 \cdot 1 + 2 (- 4 x)$

Step 1.1.2

Multiply $2$ by $1$ .

$3 - 8 x \geq 9 + 2 + 2 (- 4 x)$

Step 1.1.3

Multiply $- 4$ by $2$ .

$3 - 8 x \geq 9 + 2 - 8 x$

Step 1.2

Add $9$ and $2$ .

$3 - 8 x \geq 11 - 8 x$

Step 2

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

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Step 2.1

Add $8 x$ to both sides of the inequality.

$3 - 8 x + 8 x \geq 11$

Step 2.2

Combine the opposite terms in $3 - 8 x + 8 x$ .

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Step 2.2.1

Add $- 8 x$ and $8 x$ .

$3 + 0 \geq 11$

Step 2.2.2

Add $3$ and $0$ .

$3 \geq 11$

Step 3

Since $3 \neq 11$ , there are no solutions.

No solution