Question
Solve the inequality.
Show all work
2x^2+5x<3
Show all work
2x^2+5x<3
Answers
Steve
2x^2 + 5x - 3 < 0
(2x-1)(x+3) < 0
If a product is negative, one factor must be negative, the other positive. So, either
2x-1 > 0 and x+3 < 0
or
2x-1 < 0 and x+3 > 0
-3 < x < 1/2
Graph the function and you'll see this is the case
(2x-1)(x+3) < 0
If a product is negative, one factor must be negative, the other positive. So, either
2x-1 > 0 and x+3 < 0
or
2x-1 < 0 and x+3 > 0
-3 < x < 1/2
Graph the function and you'll see this is the case