Mathematics
Grade-7
Easy

Question

Solve -2 (x+2) < 14

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

The correct answer is: x > -9


     negative 2 left parenthesis space x space plus 2 space right parenthesis space less than space 14
u l t i m a t e space g o a l space i s space t o space f i n d space x comma space s o
d i v i d e space b y space minus 2 space b o t h space s i d e space i t space w i l l space c h a n g e space t h e space i n e q u a l i t y space s i g n
s o space minus 2 space left parenthesis x space plus space 2 right parenthesis space cross times fraction numerator negative 1 over denominator 2 end fraction space greater than space 14 space cross times fraction numerator negative 1 over denominator 2 end fraction
x space plus 2 space greater than space minus 7
n o w space 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
x plus 2 minus 2 space greater than space minus 7 minus 2
x greater than negative 9

    multiply or divide by a negative number it will change the sign of inequality

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