SOLUTION: [5.04] Consider the absolute value inequality |x + 4| <= 6. Part 1: Using complete sentences, explain whether this inequality will be an "and" compound inequality (conjunction) or

Algebra ->  Absolute-value -> SOLUTION: [5.04] Consider the absolute value inequality |x + 4| <= 6. Part 1: Using complete sentences, explain whether this inequality will be an "and" compound inequality (conjunction) or      Log On


   

Question 629030: [5.04] Consider the absolute value inequality |x + 4| <= 6.
Part 1: Using complete sentences, explain whether this inequality will be an "and" compound inequality (conjunction) or an "or" compound inequality (disjunction) and why.
Part 2: Provide the solution to the inequality and describe the graph in complete sentences
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Consider the absolute value inequality |x + 4| <= 6.
Part 1: Using complete sentences, explain whether this inequality will be an "and" compound inequality (conjunction) or an "or" compound inequality (disjunction) and why.
It's an AND statement because it puts x+4 between -6 and +6
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Part 2: Provide the solution to the inequality and describe the graph in complete sentences
-6 <= x+4 <= 6
Subtract 4 along the line to get:
-10 <= x <= 2
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Cheers,
Stan H.
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