Solve -5(2*4v-1.4)geq-6(0.8+1.2v)

$$- 5 ( 2 \cdot 4 v - 1.4 ) \geq - 6 ( 0.8 + 1.2 v )$$

Solve for v

$$v\leq \frac{59}{164}$$

Solution Steps

Multiply 2 and 4 to get 8.

$$-5\left(8v-1.4\right)\geq -6\left(0.8+1.2v\right)$$

Use the distributive property to multiply -5 by 8v-1.4.

$$-40v+7\geq -6\left(0.8+1.2v\right)$$

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

$$-40v+7\geq -4.8-7.2v$$

Add 7.2v to both sides.

$$-40v+7+7.2v\geq -4.8$$

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

$$-32.8v+7\geq -4.8$$

Subtract 7 from both sides.

$$-32.8v\geq -4.8-7$$

Subtract 7 from -4.8 to get -11.8.

$$-32.8v\geq -11.8$$

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

$$v\leq \frac{-11.8}{-32.8}$$

Expand \frac{-11.8}{-32.8} by multiplying both numerator and the denominator by 10.

$$v\leq \frac{-118}{-328}$$

Reduce the fraction \frac{-118}{-328} to lowest terms by extracting and canceling out -2.

$$v\leq \frac{59}{164}$$