Solve for y -2y+3>4

$- 2 y + 3 > 4$

Step 1

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

Subtract $3$ from both sides of the inequality.

$- 2 y > 4 - 3$

Subtract $3$ from $4$ .

$- 2 y > 1$

Step 2

Divide each term in $- 2 y > 1$ by $- 2$ and simplify.

Divide each term in $- 2 y > 1$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 3

The result can be shown in multiple forms.

Inequality Form:

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

Interval Notation:

$(- \infty, - \frac{1}{2})$

Solve for y -2y+3>4

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