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inequality: 2x2 is less than or equal to 3 + 5x
- Thread starter whiteti
- Start date
D
Deleted member 4993
Guest
Solve each inequality, give its solution in interval, set, and number line notation
2x2 is less than or equal to 3 + 5x
I started by rearranging:
0 is greater or equal to 3+5x-2x2
Now I'm stuck, please help
2x2 ≤ 3 + 5x
2x2 - 3 - 5x ≤ 0
Now factorize the left-hand-side and continue.....
2x2 ≤ 3 + 5x
2x2 - 3 - 5x ≤ 0
Now factorize the left-hand-side and continue.....
How can I factor when there is a 2 in front of the x squared though?
D
Deleted member 4993
Guest
How can I factor when there is a 2 in front of the x squared though?
2x2 - 5x - 3 ← is a quadratic function. You have learned to factorize those in earlier algebra.
For a quick refresher - go to:
http://www.purplemath.com/modules/factquad.htm
D
Deleted member 4993
Guest
thanks, I got 3, -1/2 as my roots!
But that is NOT the solution of the problem given to you. You need figure out for what values of 'x' you can get 2x2≤5+3x ?
You got the roots of the function.
May be using your graphing calculator (or wolframalfa.com) plot y = 2x2- 5- 3x.
Where does the 'y' become negetive?