rileyyidoboyce rileyyidoboyce
  • 15-11-2020
  • Mathematics
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Solve the inequality 2x²+x-3<0

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lolovep45
lolovep45 lolovep45
  • 15-11-2020

Answer:

[tex]-\frac{3}{2} <x<1[/tex]

Step-by-step explanation:

[tex]2x^{2} +3x-2x-3<0[/tex]

[tex]x(2x+3)-(2x+3)<0\\(2x+3)(x-1)<0\\When 2x+3=0 or x-1=0 \\x= -\frac{3}{2},1[/tex]

[tex]x<-\frac{3}{2} \\-\frac{3}{2} <x<1\\x<1[/tex]

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