Question

if -2 14 years ago

Answer 1

it is given that the maximum value of x is 0 and minimum value is -2.(i.e. -2<x<0)

if x takes the max value, 3x+5 also will take the maximum value
therefore the maximum value of 3x+5 is (3*0)+5=5

and if x takes the minimum value, 3x+5 also takes the minimum value.
therefore the minimum value of 3x+5 is (3*(-2))+5=-6+5=-1

it is given that a<3x+5<b

max value is b which is equal to 5
min value is a which is equal to -1

therefore -1<3x+5<5