Answer:
Option B.
[tex]a<-\frac{1}{3}\ is\ the\ solution[/tex]
Step-by-step explanation:
Given:
-3( -x + a ) + 7 < 5 When x = -1
To Find:
a ?
Solution:
-3( -x + a ) + 7 < 5 When x = -1
Substitute x = -1 in above we get
-3(-(-1) + a ) + 7 < 5
-3(1 + a) < 5 - 7
Using Distributive Property we get i.e A(B+C) = AB + AC
[tex]\therefore -3\times 1 +(-3)\times a <-2\\\\\therefore -3-3a<-2\\\\\therefore -3a<-2+3\\\\\therefore -3a<1\\\\\therefore 3a<-1\\\\\therefore a<-\frac{1}{3} \\\\\therefore a<-\frac{1}{3}\ is\ the\ solution[/tex]
