Algebra Examples

$18 \geq x + 8 \geq 11$

Step 1

Solve $18 \geq x + 8$ for $x$ .

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Step 1.1

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

$x + 8 \leq 18$

Step 1.2

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

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Step 1.2.1

Subtract $8$ from both sides of the inequality.

$x \leq 18 - 8$

Step 1.2.2

Subtract $8$ from $18$ .

$x \leq 10$

Step 2

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

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Step 2.1

Subtract $8$ from both sides of the inequality.

$x \geq 11 - 8$

Step 2.2

Subtract $8$ from $11$ .

$x \geq 3$

Step 3

Find the intersection of $x \leq 10$ and $x \geq 3$ .

$3 \leq x \leq 10$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$3 \leq x \leq 10$

Interval Notation:

$[3, 10]$

Step 5