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