(x-1)(x+5)>0 solve the following inequation
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Answer:
given inequality (x - 1)(x + 5) > 0
to solve for x
=> x² + 4x - 5 > 0
=> equate to zero
=> x² + 4x - 5 = 0
=> x² + 5x - x - 5 = 0
=> x (x + 5) - 1 (x + 5) = 0
=> ( x - 1) (x + 5) = 0
=> x - 1 = 0, x = 1
=> x + 5 = 0
=> x = -5
let's represent the solution on number line
____+___-5___-_0__-___1___+____
solution x = ( -∞ , -5 ) ∪ ( 1, ∞ )
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