9
QuizMultiple Choice

Absolute Value Inequalities — Quiz

Question 9 • Algebra 2 with Probability

What is the solution to the inequality start absolute value x minus 4 end absolute value is less than 3 ?

Answer
A
x is greater than 1 or x is less than 7
B
1 is less than x comma x is less than 7
C
x is less than negative 7 or x is less than negative 1
D
negative 7 is less than x comma x is less than negative 1

Explanation

For an absolute-value inequality |x − 4| < 3, x must be within 3 units of 4. This gives −3 < x − 4 < 3; adding 4 throughout gives 1 < x < 7. So the solution is choice B, “1 is less than x, x is less than 7.”

AI-written and checked against the verified answer.

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