Here is a set of practice problems to accompany the rational inequalities section of the solving equations and inequalities chapter of the notes for paul dawkins algebra course at lamar university. 11 write a rational inequality with the solution.
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Select a test point in each interval between the marks on the number line and determine if they satisfy the original inequality 6.
Rational inequalities worksheet. Draw a number line and mark all the solutions and critical values from steps 2 and 3 5. Determine all values that make the denominator zero 4. Graphing calculators will be used for solving and for confirming the algebraic solutions.
Determine all values that make the denominator zero 4. Examples example 1 solve the simple rational inequality graphical solution using the graphs and keeping in mind the asymptote x 2 and the point of intersection 4 3 we can determine the intervals in which f x g x this gives the solution x 2 or x 4 x e r 3 examples example 1 solve the simple rational inequality graphical solution 3 let f x and g x 3 and graph each function. Write the inequality as an equation 2.
Write the inequality as an equation 2. Solving rational inequalities practice problems move your mouse over the answer to reveal the answer or click on the complete solution link to reveal all of the steps required for solving rational inequalities. Solve the equation 3.
Solving rational inequalities worksheet. 2x 3 x 2 x 4 0. L d2g0o1j6w ckluptian sroffwtuwaaqroef aldldcz b raglolx r icgxhctish yrgeqsge rxvpeqdt w y amxacdee rwlilt hr ixnifgiyntiotfem gphrxeaciaelxcdu lnu sr.
X3 x 1 x 2 0. Find all values of x for which. Find all values of x for which.
Draw a number line and mark all the solutions and critical values from steps 2 and 3 5. Notes on rational inequalities to solve rational inequalities. Solve the equation 3.
Find all values of x for which. 135 notes on rational inequalities notes on rational inequalities to solve rational inequalities. Rational equations reporting category equations and inequalities topic solving equations containing rational algebraic expressions primary sol aii 4c the student will solve algebraically and graphically equations containing rational algebraic expressions.
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