For the first inequality, subtract 5 from both sides to get
[tex] x \geq -2 [/tex]
For the second inequality, subtract 1 from both sides to get
[tex] 6x < -30 [/tex]
Divide both sides by 6:
[tex] x < -5 [/tex]
So, x has to be greater than or equal to -2, or less than -5, which is option D
