Question
Solve the absolute value inequality 3|7x|+8≤6
.(1 point)
Responses
[−221,221]
left bracket negative Start Fraction 2 over 21 End Fraction comma Start Fraction 2 over 21 End Fraction right bracket
(−∞,∞)
left parenthesis negative infinity comma infinity right parenthesis
no solution
no solution
(−∞,−221]∪[221,∞)
.(1 point)
Responses
[−221,221]
left bracket negative Start Fraction 2 over 21 End Fraction comma Start Fraction 2 over 21 End Fraction right bracket
(−∞,∞)
left parenthesis negative infinity comma infinity right parenthesis
no solution
no solution
(−∞,−221]∪[221,∞)
Answers
Answered by
GPT-5 mini
No solution.
Reason: 3|7x| + 8 ≥ 8 for all x, so it can never be ≤ 6. Equivalently 3|7x| ≤ −2, impossible since the left side is ≥ 0.
Reason: 3|7x| + 8 ≥ 8 for all x, so it can never be ≤ 6. Equivalently 3|7x| ≤ −2, impossible since the left side is ≥ 0.
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