Respuesta :
All the numbers from the replacement set {-1, 0, 1} is also a member of the solution set for the equation: -3m + 8 <26+ m .
Step-by-step explanation:
We have , the numbers from the replacement set {-1, 0, 1} is also a member of the solution set for the equation: -3m + 8 <26+ m . Let's check number by number:
For {-1} :
substituting value of -1 in inequality -3m + 8 <26+ m
⇒ -3m + 8 <26+ m
⇒ [tex]-3m + 8 <26+ m[/tex]
⇒ [tex]-3(-1) + 8 <26+ (-1)[/tex]
⇒ [tex]3 + 8 <26-1[/tex]
⇒ [tex]11 <25[/tex] . True , so {-1} is a member of the solution set for the equation: -3m + 8 <26+ m
For {0} :
substituting value of 0 in inequality -3m + 8 <26+ m
⇒ -3m + 8 <26+ m
⇒ [tex]-3m + 8 <26+ m[/tex]
⇒ [tex]-3(0) + 8 <26+ (0)[/tex]
⇒ [tex]8 <26[/tex] . True , so {0} is a member of the solution set for the equation: -3m + 8 <26+ m
For {1} :
substituting value of 1 in inequality -3m + 8 <26+ m
⇒ -3m + 8 <26+ m
⇒ [tex]-3m + 8 <26+ m[/tex]
⇒ [tex]-3(1) + 8 <26+ (1)[/tex]
⇒ [tex]-3 + 8 <26+1[/tex]
⇒ [tex]5 <27[/tex] . True , so {1} is a member of the solution set for the equation: -3m + 8 <26+ m
