Answer:
After she distribute the [tex]x[/tex] and [tex]-1[/tex] by [tex]-5[/tex], the after you get [tex]-5x - 5 > -7x + 19[/tex], she put a negative [tex]5[/tex] instead of a positive [tex]5[/tex], and would be written as[tex]-5x + 5 > -7x + 19[/tex].
Step-by-step explanation:
Solve the inequality for the correct solution:
[tex]-5(x - 1) > -7x + 19[/tex]
-Use Distributive Property:
[tex]-5(x - 1) > -7x + 19[/tex]
[tex]-5x + 5 > -7x + 19[/tex]
-Take [tex]7x[/tex] and add it to [tex]-5x[/tex]:
[tex]-5x + 5 + 7x > -7x + 7x + 19[/tex]
[tex]2x + 5 > 19[/tex]
-Subtract [tex]5[/tex] to both sides:
[tex]2x + 5 - 5 > 19 - 5[/tex]
[tex]2x > 14[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} > \frac{14}{2}[/tex]
[tex]\boxed {x > 7}[/tex]
