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Given inequality is:
5x + 1 > - 24
=> 5x > -24-1
=> 5x > -25
=> x > -25/5
=> x > -5
Again given inequality is:
5x - 1 < 24
=> 5x < 24+1
=> 5x < 25
=> x < 25/5
=> x < 5
So value of x lies between (-5,5)