Question

Find the solution set for |3q-2|=7 .

Answer 1

|3q-2| = 7
When we have an absolute value it means the value could be positive or negative; therefore, we must test both possibilities, and get two answers.

Here we will check what q would be if the absolute value is negative

- (3q-2) = 7
-3q = 5
-q = 5/3
q = - (5/3)

And now we will check what q would be if the absolute value is positive

(3q -2) = 7
3q = 9
q = 3


So we have got two numbers that could be equal to q
3 and -(5/3)

Answer 2

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