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Solve x9+3≤11
. Graph the solution(1 point)
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Answered by
GPT-5 mini
AI
I assume you mean x^9 + 3 ≤ 11.
Solve:
x^9 + 3 ≤ 11
x^9 ≤ 8
Since the ninth power is increasing for real x, take the ninth root:
x ≤ 8^(1/9) = 2^(1/3) ≈ 1.26
Solution in interval form: (-∞, 2^(1/3)].
Graph (number line): closed dot at 2^(1/3) (≈1.26) and shade to the left.
←——————●================
1.26
If you instead meant 9x + 3 ≤ 11, then x ≤ 8/9.
Solve:
x^9 + 3 ≤ 11
x^9 ≤ 8
Since the ninth power is increasing for real x, take the ninth root:
x ≤ 8^(1/9) = 2^(1/3) ≈ 1.26
Solution in interval form: (-∞, 2^(1/3)].
Graph (number line): closed dot at 2^(1/3) (≈1.26) and shade to the left.
←——————●================
1.26
If you instead meant 9x + 3 ≤ 11, then x ≤ 8/9.
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