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PROBLEM RECOGNITION EXERCISES Solving Equations and Inequalities At this point i

ID: 3018795 • Letter: P

Question

PROBLEM RECOGNITION EXERCISES Solving Equations and Inequalities At this point in the text, we have studied several categories of equations and related inequalities. T linear equations and inequalities quadratic equations and inequalities polynomial equations and inequalities rational equations and inequalities These ind radical equations and inequalitics absolute value equations and inequ compound inequalities . . For Exercises 1-30, solve the equations and inequalities. Write the solution sets to the inequalities in intera if possible. 16. -4x(3-x 2)(-5)'0 17. -2x-5(x +3)4x + 2)-3x 18. Vx 29-3 19. (-9 -5(x-9) 14-0 20. 2 + 7x 15xo 21. 18x -3+ 10 s 7 22. 20x 1)4 16 3. 50-25x2-2x1 0 4. 6.-5-49 27. 2

Explanation / Answer

1) -1/2 <=-1/4 x - 5 < 2

this is linear inequality

2) 2x^2 - 6x = 5

theis is quadratic equation

3) 50x^3 - 25x^2 - 2x + 1 = 0

this is a polynomial equation

4) -5x ( x - 3)^2 / ( 2+x) <= 0

this is a rational inequality

5) 4th root ( m + 4) - 5 = -2

this is a radical equation

6) -5 < y and -3y + 4 >= 7

this is a compound inequality

7) | 5t - 4| + 2 = 7

this is a absolute value equation

8) absolute value equation

9) quadratic equation

10) rational equation

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