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