3 1 0 2 x x 2 5 14 2 0 1 xx x 2 2 3 0 69 x xx 2 2 1 4 0 4 x x direction. 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.
Determine all values that make the denominator zero 4.
Rational inequalities worksheet pdf. Solve the equation 3. Determine all values that make the denominator zero 4. Lesson 6 2 6 two step rational inequalities 7 p a g e 2 1 student notes reminder 3 you use the same steps when solving an inequality as you do when solving an equation.
When multiplying or dividing both sides of an inequality by a negative number the symbol. Solving inequalities. Draw a number line and mark all the solutions and critical values from steps 2 and 3 5.
Solve a linear inequality just like a linear equation by performing operations to both sides of the inequality in order to isolate the variable. Graphing calculators will be used for solving and for confirming the algebraic solutions. There are a few special things to consider with inequalities.
Express the answer in interval notation. Inequalities in one variable linear polynomial rational solving a linear inequality. 135 notes on rational inequalities mccc.
Solve the simple rational inequality algebraic solution recall that multiplying both sides of an inequality by a negative value reverses the inequality condition. Write the inequality as an equation 2. The only difference is that when dividing or multiplying both.
Solve each rational inequality. Draw a number line and mark all the solutions and critical values from steps 2 and 3 5. 135 notes on rational inequalities notes on rational inequalities to solve rational inequalities.
Show all your work in the space provided. L d2g0o1j6w ckluptian sroffwtuwaaqroef aldldcz b raglolx r icgxhctish yrgeqsge rxvpeqdt w y amxacdee rwlilt hr ixnifgiyntiotfem gphrxeaciaelxcdu lnu sr. Remember to distinguish between using a bracket and a parenthesis.
Write the inequality as an equation 2. Rational inequalities section 2 6 please find solutions to the rational inequalities below. X 2 0 x 2 6 3x 6 3x 12 since x 2 and x 4 therefore x 2 therefore the solution is x i x 2 or x 4 x e ir.
Solve the equation 3. Rational inequalities version 1 name. 11 write a rational inequality with the solution.
135 notes on rational inequalities notes on rational inequalities to solve rational inequalities.
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