2. Solve the rational inequality by using the inequality test (the chart). Writeyour solution in interval notation and show all of your work.(x+3)(x+1)(x – 15)(x+ 12)(x – 1)(x – 11)

here we first find the critical points and then put them in a number line and then we have to solve…

Answered: 2. Solve the rational inequality by…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section: Chapter Questions

Problem 5DE

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Similar questions

Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph to confirm whichof those possibilities is the actual combination. 51. f(x)=2x3+37x2+200x+300
(a) To solve the equation 2x+1=x+4 graphically, we graph the functions f(x)= and g(x)= on the same set of axes and determine the values of x at which the graphs of f and g intersect Graph f and g below, and use the graphs to solve the equation. The solution is x= . (b) To solve the inequality 2x+1x+4 graphically. we graph the functions f(x)= and g(x)= on the same set of axes and find the values of x at which the graph of g is ___________(higher/lower) than the graph of f . From the graphs in part (a) we see that the solution of the inequality is the interval (_______, ________).
To solve the nonlinear inequality x+1x20 , we first observe that the number, ____ and ____ are zeros of the numerator and denominator. These numbers divide the real line into three intervals. Complete the table. Do any of the endpoints fail to satisfy the inequality> If so, which one(s)? ____________.The solution of the inequality is __________________.

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2. Solve the rational inequality by using the inequality test (the chart). Write your solution in interval notation and show all of your work. (x+3)(x+1)(x – 15) (x + 12)(x – 1)(x – 11)