Sally1768 Sally1768
  • 03-08-2018
  • Mathematics
contestada

State the range of possible values for x if (3x+5)(x-1) < 2x+7

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sarajevo
sarajevo sarajevo
  • 03-08-2018

we are given with the inequality

[tex] (3x+5)(x-1) < 2x+7\\
\\
[/tex]

Open the parenthesis we get on left side we get

[tex] (3x+5)(x-1) < 2x+7 =3x^2-3x+5x-5<2x+7\\
\\
3x^2+2x-5<2x+7\\
\\
\text{Add -2x-7 on both the sides we get}\\
\\
3x^2+2x-5-2x-7<2x+7-2x-7\\
\\
3x^2-12<0\\
\\
\text{Add 12 on both the sides we get}\\
\\
3x^2<12\\
\\
\text{Divide both the sides by 3 we get}\\
\\
x^2<4\\
\\
-2<x<2\\ [/tex]

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