Algebra Examples

$x - 4 \geq 4$ and $6 \geq x - 4$

Step 1

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

Tap for more steps...

Step 1.1

Add $4$ to both sides of the inequality.

$x \geq 4 + 4$

Step 1.2

Add $4$ and $4$ .

$x \geq 8$

Step 2

Simplify the second inequality.

Tap for more steps...

Step 2.1

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

$x - 4 \leq 6$

Step 2.2

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

Tap for more steps...

Step 2.2.1

Add $4$ to both sides of the inequality.

$x \leq 6 + 4$

Step 2.2.2

Add $6$ and $4$ .

$x \leq 10$

Step 3

The intersection consists of the elements that are contained in both intervals.

$8 \leq x \leq 10$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$8 \leq x \leq 10$

Interval Notation:

$[8, 10]$

Step 5