Solve the Inequality for y 3(1)-2y<=4

$3 (1) - 2 y \leq 4$

Step 1

Multiply $3$ by $1$ .

$3 - 2 y \leq 4$

Step 2

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

Subtract $3$ from both sides of the inequality.

$- 2 y \leq 4 - 3$

Subtract $3$ from $4$ .

$- 2 y \leq 1$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 4

The result can be shown in multiple forms.

Inequality Form:

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

Interval Notation:

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

Solve the Inequality for y 3(1)-2y<=4

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