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Elise, Jake, Malik, and Xiao each found a solution to the same inequality. Inequality: |6x| + 3 _< 0 Elise's solution: 1/2 _< x _< -1/2 Jake's solution: x _< -1/2 OR x>_ 1/2 Malik's solution: no solution Xiao's solution: all real numbers Which solution is correct?

Nicholas Rivera

in Mathematics

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Bethany Evans on February 15, 2018

AnswerJake the solution: x ≤ -1/2 Or x ≥ 1/2Explanation|6x| + 3 ≤ 0Subtract 3 on both sides of the inequality |6x| + 3 - 3≤ 0 - 3|6x| ≤ -36x ≤ 3Divide by 6 both sidesx ≤ |3/6| x ≤ |1/2| ∴ x ≤ -1/2 or x ≥ 1/2


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