if |x+1| is less than or equal to 2, then a less than or equal to 2x-8 less than or equal to b.Find a and b

Question

if |x+1| ≤ 2, then a ≤ 2x-8 ≤ b.Find a and b

Answer 1

If lx+1l ≤ 2, then -2 ≤ x+1 ≤ 2

 

                     So, -3 ≤ x ≤ 1

 

                          -6 ≤ 2x ≤ 2

 

                         -14 ≤ 2x-8 ≤ -6

 

So. a = -14 and b = -6