tentukan himpunan penyelesaian dari |(10x + 6) + (-6x -2)| < 10

|(10x+6) + (-6x-2)|<10
= |4x+4|<10
= 4x < 10-4
= 4x<6
= x < 6/4
= x < 3/2

|(10x + 6) + (-6x - 2)| < 10
= |(4x + 4)| < 10
= √(4x + 4)² < 10
= (4x + 4)² - 10² < 0
= (4x + 4 + 10)(4x + 4 - 10) < 0
= (4x + 14)(4x - 6) < 0
      x = -[tex] \frac{14}{4} [/tex]       x = [tex] \frac{6}{4} [/tex]
         = -[tex] \frac{7}{2} [/tex]            = [tex] \frac{3}{2} [/tex]

HP : {x|-[tex] \frac{7}{2} [/tex] < x < [tex] \frac{3}{2} [/tex]}