Please Solve:
(x+3)(x-5)< 0
3 answers
x^2-2x-15>0
What does this mean? How did you arrive at this conclusion? Please explain thanks!
(x+3)(x-5)< 0 requires that the factors (x+3) and (x-5) have different signs.
Draw the number line, and you will find that from -∞ to -3, both factors are negative. From +5 to +∞, both factors are positive. These intervals will therefore violate the inequality.
The remaining interval ]-3,+5[ (meaning -3<x<5)will satisfy the inequality, as throughout the interval, the two factors have different signs.
Draw the number line, and you will find that from -∞ to -3, both factors are negative. From +5 to +∞, both factors are positive. These intervals will therefore violate the inequality.
The remaining interval ]-3,+5[ (meaning -3<x<5)will satisfy the inequality, as throughout the interval, the two factors have different signs.
1 answer