Solve the System of Inequalities x+7>=1 or 16<x+7

$x + 7 \geq 1$ or $16 < x + 7$

Step 1

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

Subtract $7$ from both sides of the inequality.

$x \geq 1 - 7$ or $16 < x + 7$

Subtract $7$ from $1$ .

$x \geq - 6$ or $16 < x + 7$

Step 2

Simplify the second inequality.

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

$x \geq - 6$ or $x + 7 > 16$

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

Subtract $7$ from both sides of the inequality.

$x \geq - 6$ or $x > 16 - 7$

Subtract $7$ from $16$ .

$x \geq - 6$ or $x > 9$

Step 3

The union consists of all of the elements that are contained in each interval.

$x \geq - 6$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 6$

Interval Notation:

$[- 6, \infty)$

Step 5