Solve 5(24v-1*4)geq-6(08+12v)

$$5 ( 24 v - 1 \cdot 4 ) \geq - 6 ( 08 + 12 v )$$

Solve for v

$$v\geq \frac{5}{48}$$

Solution Steps

Multiply 1 and 4 to get 4.

$$5\left(24v-4\right)\geq -6\left(0\times 8+12v\right)$$

Use the distributive property to multiply 5 by 24v-4.

$$120v-20\geq -6\left(0\times 8+12v\right)$$

Multiply 0 and 8 to get 0.

$$120v-20\geq -6\times 12v$$

Multiply -6 and 12 to get -72.

$$120v-20\geq -72v$$

Add 72v to both sides.

$$120v-20+72v\geq 0$$

Combine 120v and 72v to get 192v.

$$192v-20\geq 0$$

Add 20 to both sides. Anything plus zero gives itself.

$$192v\geq 20$$

Divide both sides by 192. Since 192 is positive, the inequality direction remains the same.

$$v\geq \frac{20}{192}$$

Reduce the fraction \frac{20}{192} to lowest terms by extracting and canceling out 4.

$$v\geq \frac{5}{48}$$