Algebra Examples

$x + 10 < 3$ or $6 \leq x + 10$

Step 1

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

Tap for more steps...

Step 1.1

Subtract $10$ from both sides of the inequality.

$x < 3 - 10$ or $6 \leq x + 10$

Step 1.2

Subtract $10$ from $3$ .

$x < - 7$ or $6 \leq x + 10$

Step 2

Simplify the second inequality.

Tap for more steps...

Step 2.1

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

$x < - 7$ or $x + 10 \geq 6$

Step 2.2

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

Tap for more steps...

Step 2.2.1

Subtract $10$ from both sides of the inequality.

$x < - 7$ or $x \geq 6 - 10$

Step 2.2.2

Subtract $10$ from $6$ .

$x < - 7$ or $x \geq - 4$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < - 7 or x \geq - 4$

Interval Notation:

$(- \infty, - 7) \cup [- 4, \infty)$

Step 4