Respuesta :

isyllus

Answer:

[tex]\text{Interval: }(-\infty,3)[/tex]

Step-by-step explanation:

[tex]\text{Inequality:} \frac{n}{-3}+5>4[/tex]

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

[tex]\frac{n}{-3}+5>4[/tex]

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

[tex]\frac{n}{-3}+5-5>4-5[/tex]

[tex]\frac{n}{-3}>-1[/tex]

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

[tex]\frac{n}{-3}\times -3>-1\times -3[/tex]

[tex]n<3[/tex]

Solution: All number less than 3.

[tex]\text{Interval: }(-\infty,3)[/tex]

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

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

[tex]\frac{n}{-3} +5>4[/tex]

Now, to solve this inequality,

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

That is,

[tex]-3\times \frac{n}{-3} + (-3 \times 5) <-3 \times 4[/tex]

Then, we get

[tex]n + (-15) < -12[/tex]

[tex]n -15 < -12[/tex]

Now, add 15 to both sides of the inequality

[tex]n -15+15 < -12+15[/tex]

∴ [tex]n < 3[/tex]

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

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

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