SOLUTION: Solve the inequality, graph the solutions set on a real number line, and then write the solution in interval notation
{{{ 8x^2-5x < 2x^2+4 }}}
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Question 470442: Solve the inequality, graph the solutions set on a real number line, and then write the solution in interval notation
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve the inequality, graph the solutions set on a real number line, and then write the solution in interval notation
8x^2-5x < 2x^2+4
**
8x^2-5x < 2x^2+4
6x2-5x-4<0
f(x)=(2x+1)(3x-4)<0
make a chart to find intervals where f(x)<0
(2x+1)...-....-1/2....+.....4/3...+......
(3x-4)...-....-1/2....-.....4/3...+......
f(x)........+....-1/2....-.....4/3...+......
number line:
-∞.....+....-1/2....-.....4/3...+......∞
Interval notation:
solution: (-1/2, 4/3)
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