In this problem, you will follow the parts below to solve an inequality involving h(x) = (a) Find the zeroes of h(x). Enter your answers separated by commas. X = (b) Find the discontinuity of h(x). X = (c) Determine the sign of h(x) on each subinterval of the real number line where X₁, X2, and x3 correspond to the x values found in parts (a) and (b) ordered from smallest to largest. ---Select--- 1 X1 ---Select--- I X2 ---Select--- I X3 ---Select--- 5x2 - 45 x 15 (d) Use the signs in part (c) to solve h(x) > 0. Give your answer in interval notation. Note: This process will be used in calculus when we need to determine if a function is positive or negative.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.7: Solving Inequalities
Problem 2E: To solve the nonlinear inequality x+1x20 , we first observe that the number, ____ and ____ are zeros...
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In this problem, you will follow the parts below to solve an inequality involving h(x)
(a) Find the zeroes of h(x). Enter your answers separated by commas.
X =
(b) Find the discontinuity of h(x).
X =
---Select--- v
(c) Determine the sign of h(x) on each subinterval of the real number line where X₁, X2, and x3 correspond to the x values found in parts (a) and (b) ordered from smallest to largest.
X1
---Select--- ✓
X2
---Select--- ✓
X3
=
---Select--- v
5x2 – 45
X - 15
(d) Use the signs in part (c) to solve h(x) > 0. Give your answer in interval notation.
Note: This process will be used in calculus when we need to determine if a function is positive or negative.
Transcribed Image Text:In this problem, you will follow the parts below to solve an inequality involving h(x) (a) Find the zeroes of h(x). Enter your answers separated by commas. X = (b) Find the discontinuity of h(x). X = ---Select--- v (c) Determine the sign of h(x) on each subinterval of the real number line where X₁, X2, and x3 correspond to the x values found in parts (a) and (b) ordered from smallest to largest. X1 ---Select--- ✓ X2 ---Select--- ✓ X3 = ---Select--- v 5x2 – 45 X - 15 (d) Use the signs in part (c) to solve h(x) > 0. Give your answer in interval notation. Note: This process will be used in calculus when we need to determine if a function is positive or negative.
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