Which number line represents the solution set for the given inequality?
x+1 ≤-3 or-4x<-8
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Answer:
x ≤-4 or x> 2
Step-by-step explanation:
x+1 ≤-3 or-4x<-8
First solve the inequality on the left
x+1 ≤-3
Subtract 1 from each side
x+1-1 ≤-3-1
x ≤-4
Then solve the inequality on the right
-4x<-8
Divide each side by -4, remembering to flip the inequality
-4x/4 > -8/-4
x > 2
Put them back together
x ≤-4 or x> 2
Closed circle at -4 and line going to the left and open circle at 2 and line going to the right