Solve -1.4z-7.6geq4.4(1-z)

$$- 1.4 z - 7.6 \geq 4.4 ( 1 - z )$$

Solve for z

$$z\geq 4$$

Solution Steps

Use the distributive property to multiply 4.4 by 1-z.

$$-1.4z-7.6\geq 4.4-4.4z$$

Add 4.4z to both sides.

$$-1.4z-7.6+4.4z\geq 4.4$$

Combine -1.4z and 4.4z to get 3z.

$$3z-7.6\geq 4.4$$

Add 7.6 to both sides.

$$3z\geq 4.4+7.6$$

Add 4.4 and 7.6 to get 12.

$$3z\geq 12$$

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

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

Divide 12 by 3 to get 4.

$$z\geq 4$$