Solve the higher degree inequalities.

x^2(x+5)^3
≤0
(3−x)(x+3)^2

The solution of the inequality is .

Step-by-step explanation:

The given inequality is

Equate each factor of numerator and denominator equal to 0.

The points -5,-3, 0 and 3, divides the number line in five parts. The intervals are

The zero points are -5,-3, 0 and 3 with multiplicity 3, 2, 2 and 1 respectively.

According to the Wavy Curve Method the statement (True or false) change according to the multiplicity of the zeros point.

If the multiplicity is even then statement remains same for next interval and if  the multiplicity is odd then statement changes.

Put x=-4

This statement is false.

From the given number line we can say the solution of the inequality is

Therefore the solution of the inequality is .

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc