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Solve the inequality |5x+5|<25

1 Answer

6 votes

Answer:

-6 < x < 4

Explanation:

|5x+5|<25

There are two solutions to an absolute value inequality, one positive and one negative. Remember to flip the inequality on the negative

5x+5<25 and 5x+5 > -25

Subtract 5 from each side

5x+5-5<25-5 and 5x+5-5 > -25-5

5x < 20 and 5x > -30

Divide by 5

5x/5<20/5 and 5x/5 > -30/5

x < 4 and x > -6

Putting these together since it is an and

-6 < x < 4

User Cbrauchli
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