Solve -5(2*4v-14)>-6(0.8+1.2v)

$$- 5 ( 2 \cdot 4 v - 14 ) > - 6 ( 0.8 + 1.2 v )$$

Solve for v

$$v<\frac{187}{82}$$

Solution Steps

Multiply 2 and 4 to get 8.

$$-5\left(8v-14\right)>-6\left(0.8+1.2v\right)$$

Use the distributive property to multiply -5 by 8v-14.

$$-40v+70>-6\left(0.8+1.2v\right)$$

Use the distributive property to multiply -6 by 0.8+1.2v.

$$-40v+70>-4.8-7.2v$$

Add 7.2v to both sides.

$$-40v+70+7.2v>-4.8$$

Combine -40v and 7.2v to get -32.8v.

$$-32.8v+70>-4.8$$

Subtract 70 from both sides.

$$-32.8v>-4.8-70$$

Subtract 70 from -4.8 to get -74.8.

$$-32.8v>-74.8$$

Divide both sides by -32.8. Since -32.8 is negative, the inequality direction is changed.

$$v<\frac{-74.8}{-32.8}$$

Expand \frac{-74.8}{-32.8} by multiplying both numerator and the denominator by 10.

$$v<\frac{-748}{-328}$$

Reduce the fraction \frac{-748}{-328} to lowest terms by extracting and canceling out -4.

$$v<\frac{187}{82}$$