For this case we have:
[tex]3x + 5> -1[/tex]
Subtracting 5 from both sides of the inequality:
[tex]3x> -1-5\\3x> -6[/tex]
Dividing between 3 on both sides:
[tex]x> - \frac {6} {3}\\x> -2[/tex]
The solution is given by all values of strict x greater than -2.
On the other hand we have:
[tex]-2x-7> 5[/tex]
Adding 7 to both sides:
[tex]-2x> 5 + 7\\-2x> 12[/tex]
Dividing between 2 on both sides:
[tex]-x> \frac {12} {2}\\-x> 6[/tex]
We multiply by -1 on both sides taking into account that the sense of inequality changes:
[tex]x <6[/tex]
The solution is given by all values of x less strict to 6.
Finally the solution is:
(-∞, 6) U (-2, ∞)
ANswer:
(-∞, 6) U (-2, ∞)
