Solve 4(12d-60)>6(-34+10d)

$$4 ( 12 d - 60 ) > 6 ( - 34 + 10 d )$$

Solve for d

$$d<-3$$

Solution Steps

Use the distributive property to multiply 4 by 12d-60.

$$48d-240>6\left(-34+10d\right)$$

Use the distributive property to multiply 6 by -34+10d.

$$48d-240>-204+60d$$

Subtract 60d from both sides.

$$48d-240-60d>-204$$

Combine 48d and -60d to get -12d.

$$-12d-240>-204$$

Add 240 to both sides.

$$-12d>-204+240$$

Add -204 and 240 to get 36.

$$-12d>36$$

Divide both sides by -12. Since -12 is negative, the inequality direction is changed.

$$d<\frac{36}{-12}$$

Divide 36 by -12 to get -3.

$$d<-3$$