Respuesta :

Space

Answer:

k > -2

Step-by-step explanation:

Step 1: Write inequality

6 > -2k + 2

Step 2: Solve for k

  1. Subtract 2 on both sides: 4 > -2k
  2. Divide both sides by -2: -2 < k
  3. Rewrite: k > -2

Here we see that any number greater than -2 will work. So numbers like 4, 9, 1249, or even 1957893402678 would work.

Answer:

[tex]\boxed {k > -2}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]6 > -2k + 2[/tex]

-Switch the equation:

[tex]6 > -2k + 2[/tex]

[tex]-2k + 2 < 6[/tex]

-Subtract [tex]2[/tex] on both sides:

[tex]-2k + 2 - 2 < 6 - 2[/tex]

[tex]-2k < 4[/tex]

-When you are dividing a integer by a negative integer, the inequality sign would change. So, you divide both sides by [tex]-2[/tex]:

[tex]\frac{-2k}{-2} < \frac{4}{-2}[/tex]

[tex]\boxed {k > -2}[/tex]