Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality. Explain all steps and identify the properties used. n/-3 + 5 > 4
Heres what i did i just want to check my answer
n/-3 + 5 > 4.
subtract 5 from both side:
n/-3 > -1.
Multiply both sides by -3 and reverse Inequality sign
n < 3.

Respuesta :

Answer:

Your answer is correct

Step-by-step explanation:

Indeed subtracting 5 from both sides would be n/-3> -1

Multiplying both sides by -3 would give you n < 3 (obviously after reversing the inequality sign)

Answer:

[tex]n<3[/tex]

Step-by-step explanation:

We have been given an inequality [tex]\frac{n}{-3}+5>4[/tex]. We are asked to solve the given inequality by explaining all the steps.

First of all, we will subtract 5 from both sides of inequality using subtraction property of inequality as:

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

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

To solve for n, we will multiply both sides of inequality by [tex]-3[/tex]. We need to remember that when we multiply or divide an inequality by a negative number, the sign of inequality reverses.

[tex]\frac{n}{-3}\cdot (-3)<-1\cdot (-3)[/tex]

[tex]n<3[/tex]

Therefore, the solution of our given inequality would be [tex]n<3[/tex].