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
The first term (1st) and the fourth term (4th) of a proportion are called extreme terms or extremes, and the second term (2nd) and the third term (3rd) are called middle terms or means.
Therefore, in a proportion, product of extremes = product of middle terms.
