For this case we must indicate the solution set of the given inequalities:[tex]5 + x> 3[/tex]
Subtracting 5 from both sides of the inequality we have:
[tex]x> 3-5\\x> -2[/tex]
Thus, the solution is given by all values of x greater than -2.
On the other hand we have:
[tex]6x + 1 <-29[/tex]
Subtracting 1 from both sides of the inequality we have:
[tex]6x <-29-1\\6x <-30[/tex]
Dividing by 6 on both sides of the inequality we have:
[tex]x <- \frac {30} {6}\\x <-5[/tex]
Thus, the solution is given by all values of x less than -5.
Finally, the solution set is:
(-∞, - 5) U (-2,∞)
Answer:
(-∞, - 5) U (-2,∞)
