SECTION 6.4SOLVING LINEAR INEQUALITIESBY ADDITION & SUBTRACTION
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I) REVIEW: SOLVING EQUATIONS
Solve each of the following equations
Subtract “3”from both sides
Add “7” toboth sides
Subtract “3” from both sides
Subtract “x” from both sides
Subtract “12” from both sides
Add “2x”to both sides
Multiply bothsides by -1
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I) ADDITION & SUBTRACTION WITH INEQUALITIES
When solving inequalities, adding or subtracting aconstant from both sides do not change the value of “x”
Subtract “3”from both sides
Any number that you pick on this side of the number line will work inthe original inequality
Add “7” toboth sides
Any number that you pick on this side of the number line will work inthe original inequality
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PRACTICE: SOLVE THE FOLLOWING INEQUALITIESAND DRAW NUMBER LINE FOR THE SOLUTION
Subtract “4x”from both sides
Add “11” toboth sides
Subtract “4x” from both sidesinstead of “5x” because you shouldkeep the coefficient of “x” positive
Subtract “5x”from both sides
Add “24” toboth sides
Divide 4 from both sides
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EX: MARK HAS $12.73 AND WANTS BUY A BURGERAND AS MANY HOTDOGS AS POSSIBLE. IF A BURGERCOSTS $3.75 AND HOTDOGS $1.25, HOW MANYHOTDOGS CAN HE GET?
Let “x” be the number of hotdogs
Mark must have less than 7.18 hotdogs.
Therefore, he can only get up to 7 hotdogs
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PRACTICE: SALLY IS A DOCTOR AND EVERY DAYS SHESPENDS TIME WORKING WITH PATIENTS AND WRITINGREPORTS. SHE WORKS 10 HOURS EVERY DAY, SPENDS3.5 HOURS ON REPORTS, AND THE REST ON PATIENTS.IF EACH PATIENT TAKES 20 MINUTES, HOW MANYPATIENTS CAN SHE SEE?
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