Verified Answer :

isyllus

Answer:

\(\text{Interval: }(-\infty,3)\)

Step-by-step explanation:

\(\text{Inequality:} \frac{n}{-3}+5>4\)

Here we need to solve for n using properties of inequality.

\(\frac{n}{-3}+5>4\)

Both side subtract 5, Inequality doesn't change on subtraction.

\(\frac{n}{-3}+5-5>4-5\)

\(\frac{n}{-3}>-1\)

Multiply both side by -3, Sign of inequality change if multiply by negative number. So, ">" change to "<"

\(\frac{n}{-3}\times -3>-1\times -3\)

\(n<3\)

Solution: All number less than 3.

\(\text{Interval: }(-\infty,3)\)

\(\text{Thus, solution set of n in interval form }(-\infty,3)\)

The solution to the given inequality is n < 3

From the question,

We are to solve the inequality n/ -3 + 5 > 4

First, we will write the inequality properly

The inequality written properly is

\(\frac{n}{-3} +5>4\)

Now, to solve this inequality,

First, multiply each term by -3, and change the sign from > to <

That is,

\(-3\times \frac{n}{-3} + (-3 \times 5) <-3 \times 4\)

Then, we get

\(n + (-15) < -12\)

\(n -15 < -12\)

Now, add 15 to both sides of the inequality

\(n -15+15 < -12+15\)

∴ \(n < 3\)

Hence, the solution to the given inequality is n < 3

Learn more here: https://brainly.com/question/17448505

Related Questions