Question

What are the solutions to the inequality (x-3)(x+5) ≤ 0

Answer 1

Answer:

d

Step-by-step explanation:

Answer 2

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 :D