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. 2Explanation / 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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