Solve 15.6<2.7(z-1)-0.6

$$15.6 < 2.7 ( z - 1 ) - 0.6$$

Solve for z

$$z>7$$

Solution Steps

Use the distributive property to multiply 2.7 by z-1.

$$15.6<2.7z-2.7-0.6$$

Subtract 0.6 from -2.7 to get -3.3.

$$15.6<2.7z-3.3$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$2.7z-3.3>15.6$$

Add 3.3 to both sides.

$$2.7z>15.6+3.3$$

Add 15.6 and 3.3 to get 18.9.

$$2.7z>18.9$$

Divide both sides by 2.7. Since 2.7 is positive, the inequality direction remains the same.

$$z>\frac{18.9}{2.7}$$

Expand \frac{18.9}{2.7} by multiplying both numerator and the denominator by 10.

$$z>\frac{189}{27}$$

Divide 189 by 27 to get 7.

$$z>7$$