Answer:
1. Solve for x
x= 3 or x=-5
2. From the values of x above, we have these 3 intervals to test
x<=-5
-5<=x<=3
x<=3
3. Pick a test point for each interval
For 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,
-5<=x<=3.
The answer is therefore number 3
Step-by-step explanation:
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