How do you solve #x^2<10-3x# using a sign chart?

1 Answer
salamat
Mar 28, 2017

# -5 < x < 2 graph{x^2 + 3 x - 10 [-10.24, 9.76, -9.44, 0.56]}

Explanation:

#x^2 < 10 -3 x#
#x^2 + 3 x - 10 < 0#

#(x + 5)(x - 2) < 0#

........................#-oo#...........#-5#............#2#................#+oo#

#(x + 5)#........................-................+...................+...................
#(x - 2)#........................-................-....................+...................

#(x + 5)(x - 2)#.........+................-....................+..................

therefore,

# -5 < x < 2

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