Solve -2.2y-6.8geq5.2(1-y)

$$- 2.2 y - 6.8 \geq 5.2 ( 1 - y )$$

Solve for y

$$y\geq 4$$

Solution Steps

Use the distributive property to multiply 5.2 by 1-y.

$$-2.2y-6.8\geq 5.2-5.2y$$

Add 5.2y to both sides.

$$-2.2y-6.8+5.2y\geq 5.2$$

Combine -2.2y and 5.2y to get 3y.

$$3y-6.8\geq 5.2$$

Add 6.8 to both sides.

$$3y\geq 5.2+6.8$$

Add 5.2 and 6.8 to get 12.

$$3y\geq 12$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$y\geq \frac{12}{3}$$

Divide 12 by 3 to get 4.

$$y\geq 4$$