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Algebra
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Which values are solutions to the inequality x^2 ≤ 36. A)6 B)7 C)3. D)36 E)39 F)no solution
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Let's solve your inequality step-by-step. x2≤36 Let's find the critical points of the inequality. x2=36 x=±36(Take square root) x=6 or x=−6 Check intervals in between critical points. (Test values in the intervals to see if they work.) x≤−6(Doesn't work in original inequality) −6≤x≤6(Works in original inequality) x≥6(Doesn't work in original inequality) Answer: −6≤x≤6
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