Mathematics
Grade-7
Easy

Question

Solve -4x -7 ≥ 18

  1. x ≤ -7
  2. x ≥ -7
  3. x ≤ 8
  4. x ≤ -8

The correct answer is: x ≤ -7


          negative 4 x space minus 7 space greater or equal than space 18
f i r s t space w e space h a v e space t o space a d d space 7 space b o t h space s i d e
minus 4 x space minus 7 space plus 7 space greater or equal than space 18 space plus space 7
minus 4 x space greater or equal than space 25
n o w space w e space h a v e space t o space d i v i d e space b y space minus 4 space b o t h space s i d e space comma
minus 4 space i s space a space n e g a t i v e space n u m b e r space s o space t h e space i n e q u a l i t y space s i g n space w i l l space c h a n g e
fraction numerator negative 4 x over denominator negative 4 end fraction less or equal than fraction numerator 25 over denominator negative 4 end fraction
x less or equal than space fraction numerator negative 25 over denominator 4 end fraction
         x space less or equal than space minus 6.25
       s o
a p p r o x i m a t e space a n s w e r e space i s
x space less or equal than negative 7

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

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