Algebra Examples

$- 2 x - 3 \leq y$ $y - 1 < \frac{1}{2} x$

Step 1

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

$y \geq - 2 x - 3$

Step 2

Solve $y - 1 < \frac{1}{2} x$ for $y$ .

Tap for more steps...

Step 2.1

Simplify $\frac{1}{2} x$ .

Tap for more steps...

Step 2.1.1

Rewrite.

$y - 1 < 0 + 0 + \frac{1}{2} x$

Step 2.1.2

Simplify by adding zeros.

$y - 1 < \frac{1}{2} x$

Step 2.1.3

Combine $\frac{1}{2}$ and $x$ .

$y - 1 < \frac{x}{2}$

Step 2.2

Add $1$ to both sides of the inequality.

$y < \frac{x}{2} + 1$

Step 3

Find the intersection of $y \geq - 2 x - 3$ and $y < \frac{x}{2} + 1$ .

$- 2 x - 3 \leq y < \frac{x}{2} + 1$

Step 4