Solve the Inequality for y 4y+3>2y+14

$4 y + 3 > 2 y + 14$

Step 1

Move all terms containing $y$ to the left side of the inequality.

Subtract $2 y$ from both sides of the inequality.

$4 y + 3 - 2 y > 14$

Subtract $2 y$ from $4 y$ .

$2 y + 3 > 14$

Step 2

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

Subtract $3$ from both sides of the inequality.

$2 y > 14 - 3$

Subtract $3$ from $14$ .

$2 y > 11$

Step 3

Divide each term in $2 y > 11$ by $2$ and simplify.

Divide each term in $2 y > 11$ by $2$ .

$\frac{2 y}{2} > \frac{11}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} > \frac{11}{2}$

Divide $y$ by $1$ .

$y > \frac{11}{2}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y > \frac{11}{2}$

Interval Notation:

$(\frac{11}{2}, \infty)$