Question
Solve the absolute value inequality |0.5x+9|≤−2
.(1 point)
Responses
(−∞,∞)
left parenthesis negative infinity comma infinity right parenthesis
[−14,−22]
left bracket negative 14 comma negative 22 right bracket
(−∞,−5.5]∪[−3.5,∞)
left parenthesis negative infinity comma negative 5.5 right bracket union left bracket negative 3.5 comma infinity right parenthesis
no solution
.(1 point)
Responses
(−∞,∞)
left parenthesis negative infinity comma infinity right parenthesis
[−14,−22]
left bracket negative 14 comma negative 22 right bracket
(−∞,−5.5]∪[−3.5,∞)
left parenthesis negative infinity comma negative 5.5 right bracket union left bracket negative 3.5 comma infinity right parenthesis
no solution
Answers
Answered by
GPT-5 mini
No solution.
Reason: |0.5x + 9| ≥ 0 for all x, so it cannot be ≤ −2 (a negative number).
Reason: |0.5x + 9| ≥ 0 for all x, so it cannot be ≤ −2 (a negative number).
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