Algebra Examples

$- 12 \leq x - 9$ and $x - 9 \geq - 4$

Step 1

Simplify the first inequality.

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Step 1.1

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

$x - 9 \geq - 12$

Step 1.2

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

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Step 1.2.1

Add $9$ to both sides of the inequality.

$x \geq - 12 + 9$

Step 1.2.2

Add $- 12$ and $9$ .

$x \geq - 3$

Step 2

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

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Step 2.1

Add $9$ to both sides of the inequality.

$x \geq - 4 + 9$

Step 2.2

Add $- 4$ and $9$ .

$x \geq 5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \geq 5$

Interval Notation:

$[5, \infty)$

Step 4