CA_GPS_9 - Intersection of A and B A B = x | x is an...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 9 1.8 SOLUTIONS OF LINEAR INEQUALITIES Class Time: ____________ Date: __________ Useful Guidelines: To solve for a linear inequality: Step 1: Simplify each side by using the distributive property to clear parentheses as needed. Step 2: Gather all terms with variables on one side of the inequality and all numbers on the other side. Step 3: Solve for that variable until the coefficient of the variable is one. Note: Remember to reverse the direction of the inequality symbol when you need to multiply or divide each side of an inequality by a negative number. *
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Unformatted text preview: Intersection of A and B : A B ! ={ x | x is an element of A and x is an element of B } * Union of A and B : A B ! ={ x | x is an element of A or x is an element of B } Solve the following linear inequalities and graph the solution sets: 1. a) 2 30 50 x + < b) 15 3 5 y y + ! + 2. a) 9 4( 2) 1 x x ! " ! ! + b) 3 1 ( 4) 2(3 ) 4 2 m m + > ! ! + 3. a) 3 4 9 t < + < b) 3 6 2 12 x ! " ! ! " 4. For each of the following double inequalities , decide whether intersection or union should be used. Draw a number line graph of each solution. Then give the solution in both solution set and interval notation. a) 3 15 y ! < and 2 1 y + > b) 2 4 x ! " ! or 10 x ! "...
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This note was uploaded on 10/18/2011 for the course MAC 1105 taught by Professor Russel during the Summer '07 term at Valencia.

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