Answer:
A) [tex]x-51\leq -43[/tex]
B) [tex]x-99\leq -104[/tex]
C) [tex]75<69-x[/tex]
D) [tex]150+x\leq 144[/tex]
Step-by-step explanation:
[tex]x-99\leq -104[/tex]
[tex]x\leq -104+99\\x\leq -5[/tex]
[tex]x-51\leq -43\\x\leq -43+51\\x\leq 8[/tex]
[tex]150+x\leq 144[/tex]
[tex]x\leq 144-150\\x\leq -6[/tex]
[tex]75<69-x\\75-69<-x\\6<-x\\[/tex]
Since our x cannot be negative, multiply by -1 and switch the inequality sign.
[tex]-6>x[/tex]