Solve the System of Inequalities x+7<7 OR 5+2x>=7

$x + 7 < 7$ OR $5 + 2 x \geq 7$

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

Subtract $7$ from both sides of the inequality.

$x < 7 - 7$

Subtract $7$ from $7$ .

$x < 0$

Solve $5 + 2 x \geq 7$ for $x$ .

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

Subtract $5$ from both sides of the inequality.

$2 x \geq 7 - 5$

Subtract $5$ from $7$ .

$2 x \geq 2$

Divide each term in $2 x \geq 2$ by $2$ and simplify.

Divide each term in $2 x \geq 2$ by $2$ .

$\frac{2 x}{2} \geq \frac{2}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} \geq \frac{2}{2}$

Divide $x$ by $1$ .

$x \geq \frac{2}{2}$

Simplify the right side.

Divide $2$ by $2$ .

$x \geq 1$

Find the intersection of $x < 0$ and $x \geq 1$ .

No solution