MATH SOLVE

2 months ago

Q:
# What are the soutions to the inequality (x-3)(x+5)<0

Accepted Solution

A:

Answer:1. Solve for xx= 3 or x=-52. From the values of x above, we have these 3 intervals to testx<=-5-5<=x<=3x<=33. Pick a test point for each intervalFor the interval x<=-5:Lets pick x=-6. Then, (-6-3)(-6+5)<=0. After simplifying, we get 9<=0, which is false. So we drop this interval.For the interval -5<=x<=3:Lets pick x=0. Then (0-3)(0+5)<=0. After simplifying, we get -15<=0, which is true. So we keep this interval.For the interval x>=3:Lets pick x=4. Then, (4-3)/4+5)<=0. After simplifying, we get 9<=0, which is false. So we drop this interval.4. Therefore,Β -5<=x<=3.The answer is therefore number 3 Step-by-step explanation:^^^^^^^^^^^^^^^