Aim: How do we solve rational inequalities? Do Now: 2. Find the value of x for which the fraction is undefined 3. Solve for x: HW: p.73 # 4,6,8,10,14.

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Presentation transcript:

Aim: How do we solve rational inequalities? Do Now: 2. Find the value of x for which the fraction is undefined 3. Solve for x: HW: p.73 # 4,6,8,10,14 p.69 #7 p.70 #23 1. Solve for x:

Solve the corresponding equation for x Partition the number line using the solution to the equation, and the value of x for which the equation is undefined, x = -1. Check in the inequality a representative value of x from each interval of the graph.

Let x = –2 √ Let x = 0√ Therefore the answer is or x >–1 Actually, we do not need to check all three regions since the answer must be either in between two critical values or two rays begin with the critical values -2 0

Solve for x: If the denominators have no variable, we can solve the inequality directly by multiplying the LCD 2

Solve the corresponding equation When x = 0, the equation is undefined, then x = 0 and 4 are the critical points

04 Let x = -1, X Let x = 1, √ Therefore, the solution is 0 < x < 4

Solve and graph: