Mathematics
Grade-7
Easy

Question

Solve -2 (x+2) < 12

  1. x < - 5
  2. x > -5
  3. x < -9
  4. x > -8

The correct answer is: x > -8


    negative 2 space left parenthesis space x space plus 2 space right parenthesis space less than space 12
f i r s t space w e space h a v e space t o space r e m o v e space minus 2 space comma space f r o m space t h e space i n e q u a l i t y space s o
d i v i d e d space b y space minus 2 space o r space w e space c a n space s a y space m u l t i p l y space b y space fraction numerator 1 over denominator negative 2 end fraction space space b o t h space s i d e
minus 2 left parenthesis x plus 2 right parenthesis space cross times fraction numerator 1 over denominator negative 2 end fraction space greater than space 12 space cross times fraction numerator 1 over denominator negative 2 end fraction
x plus 2 space greater than space minus 6
s u b s t r a c t space 2 space f r o m space b o t h space s i d e space
x plus 2 minus 2 space greater than space minus 6 space minus 2
x greater than negative 8 space a n s w e r

    when we multiply or divide by a negative number inequality sign will change

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