Inequalities are just like equations it's just that the sign flips anytime you multipliy or divide by a negative number
1.
[tex]t - 7 < - 15[/tex]
First Add 7 to both sides
[tex]t + (-7 + 7)< ( - 15 + 7) \\ t < - 8 [/tex]
2.
[tex]b + 12 < 18[/tex]
First Subtract 12 From Both Sides
[tex]b + (12 - 12) < (18 - 12) \\ b < 6[/tex]