# SOLUTION: 2. Let f(x) = | 7 – 3x |. Find all x for which f(x) > or = 10

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: 2. Let f(x) = | 7 – 3x |. Find all x for which f(x) > or = 10      Log On

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Polynomials-and-rational-expressions Question 215261This question is from textbook Intermediate Algebra : 2. Let f(x) = | 7 – 3x |. Find all x for which f(x) > or = 10This question is from textbook Intermediate Algebra Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website![7-3x]>=10,,,,,,lets solve with = only,,,first . (7-3x) = 10,,,,,,,,,(7-3x) = -10 . -3x = 3,,,,,,,,,,,,,,-3x = -17 . x=-1,,,,,,,,,,,,,,,,,,x=17/3 = 5.67 . now, plot on number line . ,,,,,,,A,,,,,,,,,-1,,,,,,,B,,,,,,,,5.67,,,,,,C,,,,, . Lets check original inequality in each region . A,,,let x= -2,,,,13>=10,,,,, true . B,,,,let x=0,,,,,7>=10,,,,,not true . C,,,,,let x= 7,,,,,14>=10,,,,true . . Therefore x<-1,,,,and x>=5.67,,,,,,-1>x>5.67,,,, answer . This can be done by maintaining the inequality, setting the positive absolute value as >=,,and negative as <=,,and solving, but watching the flip of inequalities as we multiply or divide by negative number, but it gets confusing, especially for this problem. .