Respuesta :
x<8 is what you get when you solve the inequality. To graph it, color anything before 8
Part I: Solving the inequality:
[tex] \frac{-x}{4} [/tex] - 6 > -8
[tex] \frac{-x}{4} [/tex] > -8 + 6
[tex] \frac{-x}{4} [/tex] > -2
-x > -2*4
-x > -8
Now multiply both sides by -1 to get x as a positive value. Remember that when multiplying by a negative number, we flip the inequality sign.
This will give us:
x < 8
Therefore, the solution is:
x ∈ (-∞,8)
Part II: graphing the inequality:
See the attached image for the graph
[tex] \frac{-x}{4} [/tex] - 6 > -8
[tex] \frac{-x}{4} [/tex] > -8 + 6
[tex] \frac{-x}{4} [/tex] > -2
-x > -2*4
-x > -8
Now multiply both sides by -1 to get x as a positive value. Remember that when multiplying by a negative number, we flip the inequality sign.
This will give us:
x < 8
Therefore, the solution is:
x ∈ (-∞,8)
Part II: graphing the inequality:
See the attached image for the graph
