Solve the System of Inequalities 5x>=20 or x+14<16

$5 x \geq 20$ or $x + 14 < 16$

Divide each term in $5 x \geq 20$ by $5$ and simplify.

Divide each term in $5 x \geq 20$ by $5$ .

$\frac{5 x}{5} \geq \frac{20}{5}$ or $x + 14 < 16$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} \geq \frac{20}{5}$ or $x + 14 < 16$

Divide $x$ by $1$ .

$x \geq \frac{20}{5}$ or $x + 14 < 16$

Simplify the right side.

Divide $20$ by $5$ .

$x \geq 4$ or $x + 14 < 16$

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

Subtract $14$ from both sides of the inequality.

$x \geq 4$ or $x < 16 - 14$

Subtract $14$ from $16$ .

$x \geq 4$ or $x < 2$

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

$x < 2$ or $x \geq 4$

The result can be shown in multiple forms.

Inequality Form:

$x < 2 or x \geq 4$

Interval Notation:

$(- \infty, 2) \cup [4, \infty)$