Solve the Inequality for y 1.8-0.4y>=2.2-2y

$1.8 - 0.4 y \geq 2.2 - 2 y$

Step 1

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

Add $2 y$ to both sides of the inequality.

$1.8 - 0.4 y + 2 y \geq 2.2$

Add $- 0.4 y$ and $2 y$ .

$1.8 + 1.6 y \geq 2.2$

Step 2

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

Subtract $1.8$ from both sides of the inequality.

$1.6 y \geq 2.2 - 1.8$

Subtract $1.8$ from $2.2$ .

$1.6 y \geq 0.4$

Step 3

Divide each term in $1.6 y \geq 0.4$ by $1.6$ and simplify.

Divide each term in $1.6 y \geq 0.4$ by $1.6$ .

$\frac{1.6 y}{1.6} \geq \frac{0.4}{1.6}$

Simplify the left side.

Cancel the common factor of $1.6$ .

Cancel the common factor.

$\frac{1.6 y}{1.6} \geq \frac{0.4}{1.6}$

Divide $y$ by $1$ .

$y \geq \frac{0.4}{1.6}$

Simplify the right side.

Divide $0.4$ by $1.6$ .

$y \geq 0.25$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y \geq 0.25$

Interval Notation:

$[0.25, \infty)$