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solve the inequality. write the solution set in interval notation and graph it. 2-4x+5(x+1)<-6(x-2)

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1 Answer

Solving inequalities is just like solving equalities with one exception; if you multiply or divide both sides by a negative number, flip the inequality sign.
 
2-4x+5(x+1)<-6(x-2)
2-4x+5x+5<-6x+12
7+x<-6x+12
7x<5
x<5/7
 
To graph, make an open circle at 5/7. (Open because the inequality does not have an equals bar and does not allow x to equal 5/7). Graph a dark line to the left of the open circle.