Question

In the expression below what values of v would make a product greater than 5 x v/7.

Answer 1

Any value of v greater than 0 will satisfy the inequality and make the product greater than 5 × v/7. As v increases, the inequality holds true since v is positive.

Step-by-step explanation:

To determine what values of v would make the product greater than 5 × v/7, we can set up an inequality. Since we're looking for when the product is greater, we'll use a greater-than sign (>). The inequality then is:

v > 5 × v/7

To solve for v, we first multiply both sides by 7 to eliminate the fraction on the right side:

7 × v > 5 × v

This simplifies to:

7v > 5v

Next, we subtract 5v from both sides to get:

2v > 0

Dividing both sides by 2 gives us:

v > 0

So, the inequality tells us that any value of v greater than 0 will make the product greater than 5 × v/7.