Algebra Examples

$9 (x - 3) - 8 x \geq - 3$

Step 1

Simplify $9 (x - 3) - 8 x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

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

Step 1.1.2

Multiply $9$ by $- 3$ .

$9 x - 27 - 8 x \geq - 3$

Step 1.2

Subtract $8 x$ from $9 x$ .

$x - 27 \geq - 3$

Step 2

Move all terms not containing $x$ to the right side of the inequality.

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Step 2.1

Add $27$ to both sides of the inequality.

$x \geq - 3 + 27$

Step 2.2

Add $- 3$ and $27$ .

$x \geq 24$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \geq 24$

Interval Notation:

$[24, \infty)$