Answer:
[tex]1.\ m<6\\2.\ g\leq-4\\3.\ y<41\\4.\ b<4\\5.\ h<-30\\6.\ x>-2\\7.\ t>9\\8.\ w<28[/tex]
Step-by-step explanation:
1. Subtract 10 from both sides. Then:
[tex]m+ 10< 16\\ m+ 10-10< 16-10\\m<6[/tex]
2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:
[tex]-2g\geq8\\\\\frac{-2g}{-2}\geq\frac{8}{-2}\\\\g\leq-4[/tex]
3. Add 22 to both sides. Then:
[tex]y-22< 19\\ y-22+22<19+22\\y<41[/tex]
4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:
[tex]-7b>-28\\\\\frac{-7b}{-7}>\frac{-28}{-7}\\\\b<4[/tex]
5. Subtract 30 from both sides. Then:
[tex]h+30<0\\ h+30-30<0-30\\h<-30[/tex]
6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:
[tex]-5x<10\\\\\frac{-5x}{-5}<\frac{10}{-5}\\\\x>-2[/tex]
7. Subtract 13 from both sides. Then:
[tex]t+13>22\\ t+13-13>22-13\\t>9[/tex]
8. Add 12 to both sides. Then:
[tex]w-12< 16\\ w-12+12<16+12\\w<28[/tex]
