Six less than the product of four and a number is less than 0.5 times the opposite of the number

My answer
6-4n< 0.5/n

Do you just want the inequation?,

if so, then

4n - 6 < .5(-n)

If you want a solution:

each term multiplied by +2
8n - 12 < -n
9n < 12
n < 12/9
n < 4/3

Thanks

To solve this equation, let's break it down step by step:

1. "Six less than the product of four and a number": This can be written as 4n - 6.

2. "Less than 0.5 times the opposite of the number": This can be written as -0.5 * (-n) or 0.5n.

So now we have the equation:
4n - 6 < 0.5n

To solve for n, we can start by moving all the n terms to one side of the inequality and the constant terms to the other side:

4n - 0.5n < 6

Combining the n terms, we get:

3.5n < 6

Finally, to isolate n, divide both sides of the inequality by 3.5:

n < 6/3.5

The final solution is n < 1.71 (rounded to two decimal places).

Therefore, any number less than 1.71 would satisfy the original equation.