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solve and check |3a+4|<12

0 votes

solve |3a+4|<12.

solving-inequalities

asked Mar 12, 2014 in ALGEBRA 1 by chrisgirl Apprentice

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1 Answer

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Remember the formula |x | < a ⇒-a < x < a

|3a + 4| < 12

-12 < 3a + 4 < 12

-12 - 4 < 3a + 4 - 4 < 12 - 4

-16 < 3a < 8

-16/3 < 3a /3 < 8/3

-16/3 < a < 8/3

-5.33 < a < 2.66

Check

|3a + 4| < 12

If a = 1

|3(1) + 4| < 12

7 < 12

Above statement is true.

answered Mar 12, 2014 by david Expert

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