SOLUTION: 2x2+5x-12>0 graph and algebraically solve the inequalities

Question 779215: 2x2+5x-12>0 graph and algebraically solve the inequalities
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2x2+5x-12>0
Factor:
2x^2 + 8x-3x - 12 > 0
2x(x+4)-3(x+4) > 0
(x+4)(2x-3) > 0
--------
Draw a number line; plot x = -4 and x = 3/2
Test points in each of the resulting intervals to find the solution set::
Let x = -10; you get -*- > 0, so solutions in (-oo,-4)
---
Let x = 0: you get +*- > 0, false
---
Let x = 10: you get +*+ > 0, so solutions in (3/2,+oo)
==================
Cheers,
Stan H.
==================
RELATED QUESTIONS
Solve and graph the following equations and inequalities algebraically. 1. x - 8 = 12 (answered by MathLover1)

: Solve and graph the following equations and inequalities algebraically. 1.) x - 8 =... (answered by MathLover1,ewatrrr)

Solve the inequalities and graph b + 12 <... (answered by vleith)

Solve the inequalities, if possible, and graph. b +12... (answered by Alan3354,macston,fractalier)

Solve the following inequalities algebraically. 1. 2x^2≥-8x-4 2.... (answered by stanbon)

Solve the inequalities by graphing. Select the correct graph. 5x + 6y >1 y - x < 0 (answered by solver91311)

Solve using the quadratic formula. 2x2 - 5x � 10 = 0 (answered by jim_thompson5910,venugopalramana)

1. Solve the equation by completing the square. 2x2 - 5x - 12 = 0 (answered by solver91311)

how do i solve by factoring 2x2-5x-12=0... (answered by Gogonati,Edwin McCravy,lawdej,josmiceli)