Solve 4z+6/5>3z+4.4/4

$$\frac { 4 z + 6 } { 5 } > \frac { 3 z + 4.4 } { 4 }$$

Solve for z

$$z>-2$$

Solution Steps

Multiply both sides of the equation by 20, the least common multiple of 5,4. Since 20 is positive, the inequality direction remains the same.

$$4\left(4z+6\right)>5\left(3z+4.4\right)$$

Use the distributive property to multiply 4 by 4z+6.

$$16z+24>5\left(3z+4.4\right)$$

Use the distributive property to multiply 5 by 3z+4.4.

$$16z+24>15z+22$$

Subtract 15z from both sides.

$$16z+24-15z>22$$

Combine 16z and -15z to get z.

$$z+24>22$$

Subtract 24 from both sides.

$$z>22-24$$

Subtract 24 from 22 to get -2.

$$z>-2$$