Question

Solve: 2x2 + 3x - 2 < 0.​

Answer 1

Answer:

−2<x<1/2

Step-by-step explanation:

2x2+3x−2<0

Let's find the critical points of the inequality.

2x2+3x−2=0

(2x−1)(x+2)=0(Factor left side of equation)

2x−1=0 or x+2=0(Set factors equal to 0)

x=1/2 or x=−2

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<−2(Doesn't work in original inequality)

−2<x<1/2

(Works in original inequality)

x>1/2(Doesn't work in original inequality)

Answer 2

Step-by-step explanation:

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