asked 150k views
3 votes
Write the absolute value inequality in the form

|x−b| c that has the solution set x≤−9 or x≥−5.

asked
User Theintz
by
8.1k points

2 Answers

4 votes

Answer: This is the correct answer bc RSM said so. Thank You So Much

Explanation:

answered
User Lukx
by
7.8k points
7 votes

Answer:


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Explanation:

Look at the picture.


|x-a|\geq b\\\\a=(-9+(-5))/(2)=(-14)/(2)=-7\\\\b=-9-(-7)=-9+7=-2\\b=-5-(-7)=-5+7=2\\\\|x-(-7)|\geq2\\\\|x+7|\geq2\\\\Check:\\\\|x+7|\geq2\iff x+7\geq2\ \vee\ x+7\leq-2\qquad\text{subtract 7 from both sides}\\\\x+7-7\geq2-7\ \vee\ x+7-7\leq-2-7\\\\x\geq-5\ \vee\ x\leq-9\qquad CORRECT\ :)

Write the absolute value inequality in the form |x−b| c that has the solution set-example-1
answered
User Dick Eshelman
by
8.7k points
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