Answer:
(D) [tex]x>-10[/tex]
Step-by-step explanation:
If we have the inequality [tex]-7x + 4 > -8x - 6[/tex], we can simplify it down and get [tex]x[/tex] isolated on one side of the equation.
Add 6 to both sides:
[tex]-7x + 4 + 6 > -8x - 6 + 6\\\\-7x + 10 > -8x[/tex]
Add [tex]8x[/tex] to both sides of the inequality:
[tex]-7x + 10 + 8x > -8x+8x\\\\x + 10 > 0[/tex]
Subtract 10 from both sides of the inequality:
[tex]x + 10 - 10 > 0 - 10\\\\x > -10[/tex]
So (D) [tex]x>-10[/tex] is the correct simplification.
Hope this helped!
