Solve 3(3.6h+5)>4(2.3h+7)

$$3 ( 3.6 h + 5 ) > 4 ( 2.3 h + 7 )$$

Solve for h

$$h>8.125$$

Solution Steps

Use the distributive property to multiply 3 by 3.6h+5.

$$10.8h+15>4\left(2.3h+7\right)$$

Use the distributive property to multiply 4 by 2.3h+7.

$$10.8h+15>9.2h+28$$

Subtract 9.2h from both sides.

$$10.8h+15-9.2h>28$$

Combine 10.8h and -9.2h to get 1.6h.

$$1.6h+15>28$$

Subtract 15 from both sides.

$$1.6h>28-15$$

Subtract 15 from 28 to get 13.

$$1.6h>13$$

Divide both sides by 1.6. Since 1.6 is positive, the inequality direction remains the same.

$$h>\frac{13}{1.6}$$

Expand \frac{13}{1.6} by multiplying both numerator and the denominator by 10.

$$h>\frac{130}{16}$$

Reduce the fraction \frac{130}{16} to lowest terms by extracting and canceling out 2.

$$h>\frac{65}{8}$$